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Area of effect (often referred to as AoE) refers to a specified area in which multiple enemies can be affected by a skill. Skill gems with an area of effect have the AoE gem tag.
Mechanics
The simplest examples are skills like 
Shock Nova, 
Ice Nova and 
Sweep, which have circular areas of effect. Skills like 
Cleave and 
Ground Slam have cone-shaped effects - effectively cut out of circles. Some skills have irregular shapes, for example Module Error: Too many skills found with q_where = skill.active_skill_name="Flame Surge". Please choose only one of the following ids:
FlameWhip - Deals (27-563) to (40-844) Fire Damage, (50-88)% more Damage with Hits against Burning enemies, Cannot Ignite, +(0-9) to Area of Effect length (page)
SlavedriverFlameWhip - Deals 5 to 15 Lightning Damage, 65% reduced Cast Speed (page) or 
Glacial Cascade.
Skills that damage multiple enemies per cast do not necessarily have an area of effect. Piercing projectiles like 
Ice Spear do not have the AoE tag, nor do chaining skills.
The size of the area is called the radius, and can be increased or reduced with passive skills, support gems and items. When modifying the radius, all radius values in the skill will be affected, even if the skill does not do damage. The passive skills that are more specific (e.g. increasing the radius of auras) will only apply to that specific group.
When an item or skill increases the area damage, it will only be applicable to skills that deal damage on that area of effect. For example, with 
Fireball, that damage bonus will go into effect only when the projectile explodes on last target struck and won't kick if the projectile pierced, chained or forked.
Area of effect does not affect the trigger radius of Traps and Mines, but it can apply to effects cast by the trap or mine. 
Fire Trap, for example, has an area of effect, and is affected by it. 
Bear Trap does not, and is not. If supporting a spell with the Module Error: No skills found with q_where = skill.active_skill_name="Trap" support gem, then it will be affected if it's a spell that has an area of effect.
Same goes for totems. If the effect the totem uses has an area of effect, it will get the bonus from the modifiers.
Skill gems
{{#ask:
Concept:Strength active skill gems Has gem tags::AoE Has gem tags difference::Aura Has gem tags difference::Curse |
?Has name | ?Has inventory icon | ?Has infobox HTML | ?Has level requirement | ?Has intelligence percentage | ?Has dexterity percentage | ?Has primary radius | ?Has primary radius description | ?Has secondary radius | ?Has secondary radius description | ?Has tertiary radius | ?Has tertiary radius description | limit=1000 | link=none | format=template | introtemplate=SMW item table/skill gem/intro | template=SMW item table/skill gem | outrotemplate=SMW item table/skill gem/outro | named args=yes | userparam=level=yes, int=yes, dex=yes, radius=yes
}} |
{{#ask:
Concept:Dexterity active skill gems Has gem tags::AoE Has gem tags difference::Aura Has gem tags difference::Curse |
?Has name | ?Has inventory icon | ?Has infobox HTML | ?Has level requirement | ?Has strength percentage | ?Has intelligence percentage | ?Has dexterity percentage | ?Has primary radius | ?Has primary radius description | ?Has secondary radius | ?Has secondary radius description | ?Has tertiary radius | ?Has tertiary radius description | limit=1000 | link=none | format=template | introtemplate=SMW item table/skill gem/intro | template=SMW item table/skill gem | outrotemplate=SMW item table/skill gem/outro | named args=yes | userparam=level=yes, int=yes, str=yes, radius=yes
}} |
{{#ask:
Concept:Intelligence active skill gems Has gem tags::AoE Has gem tags difference::Aura Has gem tags difference::Curse |
?Has name | ?Has inventory icon | ?Has infobox HTML | ?Has level requirement | ?Has strength percentage | ?Has intelligence percentage | ?Has dexterity percentage | ?Has primary radius | ?Has primary radius description | ?Has secondary radius | ?Has secondary radius description | ?Has tertiary radius | ?Has tertiary radius description | limit=1000 | link=none | format=template | introtemplate=SMW item table/skill gem/intro | template=SMW item table/skill gem | outrotemplate=SMW item table/skill gem/outro | named args=yes | userparam=level=yes, dex=yes, str=yes, radius=yes
}} |
{{#ask:
Concept:Skill gems Has gem tags::Aura Has item class::Active Skill Gems |?Has name |?Has infobox HTML |?Has support gem letter HTML |?Has level requirement |?Has strength percentage |?Has intelligence percentage |?Has dexterity percentage |?Has primary radius |?Has primary radius description |?Has secondary radius |?Has secondary radius description |?Has tertiary radius |?Has tertiary radius description |intro=All Aura gems have an AoE: |limit=1000 |link=none |format=template |introtemplate=SMW item table/skill gem/intro |template=SMW item table/skill gem |outrotemplate=SMW item table/skill gem/outro |named args=yes |userparam=level=yes, int=yes, dex=yes, str=yes, radius=yes |sort=Has primary attribute, Has name
}}
{{#ask:
Concept:Skill gems Has gem tags::Curse Has item class::Active Skill Gems |?Has name |?Has infobox HTML |?Has support gem letter HTML |?Has level requirement |?Has strength percentage |?Has intelligence percentage |?Has dexterity percentage |?Has primary radius |?Has primary radius description |?Has secondary radius |?Has secondary radius description |?Has tertiary radius |?Has tertiary radius description |intro=All Curse gems also have an AoE: |limit=1000 |link=none |format=template |introtemplate=SMW item table/skill gem/intro |template=SMW item table/skill gem |outrotemplate=SMW item table/skill gem/outro |named args=yes |userparam=level=yes, int=yes, dex=yes, str=yes, radius=yes |sort=Has primary attribute, Has name
}}
{{#ask:
Concept:Skill gems Has item class::Support Skill Gems Has gem tags::AoE OR Concept:Skill gems Has item class::Support Skill Gems Has quality stat ids:: ~*area_of_effect* |?Has name |?Has infobox HTML |?Has support gem letter HTML |?Has level requirement |?Has strength percentage |?Has intelligence percentage |?Has dexterity percentage |?Has primary radius |?Has primary radius description |?Has secondary radius |?Has secondary radius description |?Has tertiary radius |?Has tertiary radius description |intro=A list of support gems with the gem tag: AoE or quality that increases AoE |limit=1000 |link=none |format=template |introtemplate=SMW item table/skill gem/intro |template=SMW item table/skill gem |outrotemplate=SMW item table/skill gem/outro |named args=yes |userparam=level=yes, int=yes, dex=yes, str=yes, radius=yes |sort=Has primary attribute, Has name
}}
Passive skills
There are passive skills that grant bonuses to skills with an area of effect.
Area of effect radius
These passive skills grant increased radius for skills with an area of effect.
Template:Passive table
Template:Ascendancy passive table
Area of effect radius for auras
These passive skills grant increased area of effect radius for auras.
Template:Passive table
Area of effect radius for curses
These passive skills grant increased area of effect radius for curses.
Template:Passive table
Area of effect radius for traps
These passive skills grant increased area of effect radius for traps.
Template:Ascendancy passive table
Area of effect damage
These passive skills grant increased damage to area of effect skills.
Template:Passive table
Template:Ascendancy passive table
Items that affect Area of Effect
These items modify Area of Effect Globally:
Blood of SummerBlood of Summer
Rusted SwordOne Handed Sword
Quality: +20%
Physical Damage: 7.2-18
Critical Strike Chance: 5.00%
Attacks per Second: 1.55
Weapon Range: 1140% increased Global Accuracy RatingAdds 2 to 6 Physical Damage
2% increased Movement Speed per Frenzy Charge
+1 to Maximum Frenzy Charges
20% increased Area of Effect
33% chance to gain a Frenzy Charge on KillInto darkness, horror, madness...
So goes the descent.- Breath of the CouncilBreath of the Council
Carnal SceptreSceptre
Quality: +20%
Physical Damage: (155.8-176.3) to (361-408.5)
Critical Strike Chance: 6.00%
Attacks per Second: 1.20
Weapon Range: 11Requires Level 66, 113 Str, 113 Int32% increased Elemental Damage(260-310)% increased Physical Damage
(80-100)% increased Chaos Damage
10% increased Area of Effect
Chaos Skills have 40% increased Skill Effect DurationBreathe deep, and give yourself over to eternity. - Carcass JackCarcass Jack
Varnished CoatQuality: +20%
Evasion: (928-1044)
Energy Shield: (180-202)
Movement Speed: -3%Requires Level 62, 96 Dex, 96 Int(120-150)% increased Evasion and Energy Shield
+(50-70) to maximum Life
+(9-12)% to all Elemental Resistances
(40-50)% increased Area of Effect
(40-50)% increased Area Damage
Extra gore"...The discomfort shown by the others is amusing, but none
can deny that my work has made quite the splash..."
- Maligaro's Journal - DivinariusDivinarius
Imperial SkeanRune Dagger
Quality: +20%
Physical Damage: 21.6-87.6
Critical Strike Chance: 6.30%
Attacks per Second: 1.50
Weapon Range: 10Requires Level 66, 95 Dex, 131 Int30% increased Global Critical Strike Chance(50-70)% increased Spell Damage
+30 Life gained on Kill
+10 Mana gained on Kill
10% increased Area of Effect
(125-175)% increased Critical Strike Chance for Spells if you've Killed Recently
+(40-60)% to Critical Strike Multiplier for Spells if you haven't Killed RecentlyDivine intervention feels better
when you do it yourself. - Dying BreathDying Breath
Iron StaffWarstaff
Quality: +20%
Physical Damage: 16.8-50.4
Critical Strike Chance: 6.40%
Attacks per Second: 1.30
Weapon Range: 13Requires Level 13, 27 Str, 27 Int+18% Chance to Block Attack Damage while wielding a Staff18% increased Cast Speed
18% increased maximum Mana
18% increased Area of Effect of Aura Skills
18% increased Area of Effect of Hex Skills
Nearby Enemies have 18% increased Effect of Curses on them
Nearby allies gain 18% increased Damage
18% increased effect of Non-Curse Auras from your SkillsThe whispers of the dead
Carry wisdom for the living,
If you are willing to give your life
To listen. - Dying SunDying Sun
Ruby FlaskLasts 5.00 Seconds
Consumes (45-50) of 50 Charges on use
+50% to Fire Resistance
20% less Fire Damage takenRequires Level 68(125-150)% increased Charges used
(40-60)% reduced Duration
(10-20)% increased Area of Effect during Flask Effect
Skills fire 2 additional Projectiles during Flask EffectAll things must die.
Whether you burn out or explode is up to you.Right click to drink. Can only hold charges while in belt. Refills as you kill monsters. - Hyrri's BiteHyrri's Bite
Sharktooth Arrow QuiverRequires Level 10+(3-4) Life gained for each Enemy hit by your Attacks+(15-25) to Strength
+(35-45) to Dexterity
+(15-25) to Intelligence
Adds 10 to 20 Cold Damage to Attacks
(7-10)% increased Attack Speed
+(2-3) Life gained for each Enemy hit by your Attacks
10% increased Area of EffectA Karui woman's place was not the
battlefield, but the hearth.
Hyrri changed all of that. - Lavianga's WisdomLavianga's Wisdom
War HammerOne Handed Mace
Quality: +20%
Physical Damage: (36.4-41.6) to (86.8-99.2)
Critical Strike Chance: 5.00%
Attacks per Second: 1.45
Weapon Range: 11Requires Level 20, 71 Str10% reduced Enemy Stun Threshold(160-200)% increased Physical Damage
+70 to maximum Life
+70 to maximum Mana
5% reduced Movement Speed
(15-25)% increased Area of Effect
(10-20)% increased Area Damage"The painful memories are the easiest to recall."
- Lavianga, Advisor to Kaom - Maligaro's LensMaligaro's Lens
Compound Spiked ShieldQuality: +20%
Chance to Block: 25%
Evasion: 146
Energy Shield: 28
Movement Speed: -3%Requires Level 45, 58 Dex, 58 Int2% chance to Dodge Spell Hits(10-15)% increased Attack Speed
(10-20)% increased maximum Life
-50% to all Elemental Resistances
10% increased Area of Effect
Nearby allies Recover 1% of your Maximum Life when you Die"Look around you. What do you see?
Corruption, perversion, sin?
No. It is progress.
You simply lack the means to see it."
- Inquisitor Maligaro - Martial ArtistryMartial Artistry
Crimson JewelLimited to: 1
Radius: Small+(3-4) to Melee Strike Range while Unarmed
Passive Skills in Radius also grant: 1% increased Attack Speed with Unarmed AttacksA gentle hand rarely leaves a mark on the world.Place into an allocated Jewel Socket on the Passive Skill Tree. Right click to remove from the Socket. - Mutewind PennantMutewind Pennant
Enameled BucklerQuality: +20%
Chance to Block: 24%
Evasion: (554-609)
Movement Speed: -3%Requires Level 42, 103 Dex6% increased Movement Speed(80-100)% increased Evasion Rating
+(20-40)% to Cold Resistance
10% increased Area of Effect
Gain Onslaught for 4 seconds when you Warcry
25% increased Warcry Buff Effect
Call to ArmsEmbrace the snow or be buried. - Pillar of the Caged GodPillar of the Caged God
Iron StaffWarstaff
Quality: +20%
Physical Damage: 16.8-50.4
Critical Strike Chance: 6.40%
Attacks per Second: 1.30
Weapon Range: 13Requires Level 13, 27 Str, 27 Int+18% Chance to Block Attack Damage while wielding a Staff1% increased Area of Effect per 20 Intelligence
1% increased Attack Speed per 10 Dexterity
16% increased Physical Weapon Damage per 10 StrengthForged to rule the waves and tide
Destined to serve the monkey's paw
Strong as a tower of iron
Deft as the needle doubt - The Beast Fur ShawlThe Beast Fur Shawl
Vaal RegaliaQuality: +20%
Energy Shield: (409-470)
Movement Speed: -3%Requires Level 68, 194 Int40% increased Spell Damage
+(15-25) to maximum Energy Shield
(110-130)% increased Energy Shield
10% increased Area of Effect
5% increased Damage taken
(30-40)% increased Energy Shield Recovery rateThe quickest way to understand
your own strengths and weaknesses
is to walk in the skin of another. - Vestige of DivinityVestige of Divinity
Gnarled BranchStaff
Quality: +20%
Physical Damage: 13.2-27.6
Critical Strike Chance: 6.00%
Attacks per Second: 1.30
Weapon Range: 15+18% Chance to Block Attack Damage while wielding a Staff16% Chance to Block Attack Damage
Adds 2 to 4 Physical Damage
15% increased Area of Effect
Reflects 8 to 14 Physical Damage to Attackers on Block
+2 to Weapon RangeInto darkness, horror, madness...
So goes the descent. - Maraketh weapons:
- Morning StarMorning StarTwo Hand Mace
Physical Damage: 45-68
Critical Strike Chance: 5.00%
Attacks per Second: 1.25
Weapon Range: 13Requires Level 34, 118 Str15% increased Area of Effect - Solar MaulSolar MaulTwo Hand Mace
Physical Damage: 75-113
Critical Strike Chance: 5.00%
Attacks per Second: 1.25
Weapon Range: 13Requires Level 56, 187 Str15% increased Area of Effect - Coronal MaulCoronal MaulTwo Hand Mace
Physical Damage: 91-136
Critical Strike Chance: 5.00%
Attacks per Second: 1.20
Weapon Range: 13Requires Level 69, 220 Str20% increased Area of Effect
- Talismans:
- Monkey Twins TalismanMonkey Twins TalismanTalisman Tier: 3(5-8)% increased Area of EffectCorruptedThe first ones marked their hunting grounds
with blood and piss.
We have tried to paint our future in words.
Now we shall paint with inks of savagery.
- The Wolven King - Greatwolf TalismanGreatwolf TalismanTalisman Tier: 4<Two random talisman implicit modifiers>CorruptedThe wolf greeted the king,
In the light of the harvest moon.
The wolf offered the strength of the wild,
And the king paid for it in blood. - Eyes of the GreatwolfEyes of the Greatwolf
Greatwolf TalismanTalisman Tier: 4Requires Level 52
Implicit Modifier magnitudes are doubled<Two random talisman implicit modifiers> Projectiles Pierce 2 additional Targets
+1 to maximum number of Raised Zombies
(6-10)% increased Attack and Cast Speed
(20-30)% increased Attack Damage
(4-6)% chance to Freeze, Shock and Ignite
50% of Cold Damage from Hits taken as Fire Damage
50% of Cold Damage from Hits taken as Lightning Damage
Gain (6-12)% of Physical Damage as Extra Damage of a random Element
10% chance to gain an Endurance Charge on Kill
50% of Fire Damage from Hits taken as Cold Damage
50% of Fire Damage from Hits taken as Lightning Damage
10% chance to gain a Frenzy Charge on Kill
(15-25)% increased Global Defences
(12-16)% increased Attributes
(5-8)% increased Area of Effect
(19-31)% increased Chaos Damage
(20-30)% increased Cold Damage
(40-50)% increased Global Critical Strike Chance
+(24-36)% to Global Critical Strike Multiplier
(25-35)% increased Damage
(20-30)% increased Fire Damage
(6-10)% increased Quantity of Items found
(8-12)% increased maximum Life
(20-30)% increased Lightning Damage
(20-30)% increased maximum Mana
(20-30)% increased Global Physical Damage
50% of Lightning Damage from Hits taken as Cold Damage
50% of Lightning Damage from Hits taken as Fire Damage
Regenerate 2% of Life per second
10% chance to gain a Power Charge on Kill
(4-6)% additional Physical Damage Reduction
(20-30)% increased Spell Damage
CorruptedI am but a vessel for a greater force.
It acts through me. Speaks through me.
Decides what lives and dies through me.
And will change the world through me.
- Belts with the (4 to 6)% increased Radius of Area Skills corrupted implicit modifier
These items modify Area of Effect of socketed Skills:
- Amplification RodAmplification Rod
Spiraled WandWand
Quality: +20%
Physical Damage: 14.4-44.4
Critical Strike Chance: 7.00%
Attacks per Second: 1.30
Weapon Range: 120Requires Level 36, 83 Int(15-19)% increased Spell Damage+2 to Level of Socketed Gems
Socketed Gems are Supported by Level 10 Intensify
Socketed Gems are Supported by Level 10 Spell Echo
Socketed Gems are Supported by Level 10 Controlled Destruction
+(10-30) to IntelligenceNo one likes a quiet encore. - DoomsowerDoomsower
Lion SwordTwo Hand Sword
Quality: +20%
Physical Damage: (201-244.8) to (322.5-382.5)
Critical Strike Chance: 5.00%
Attacks per Second: (1.54-1.62)
Weapon Range: 13Requires Level 65, 104 Str, 122 Dex+50 to Strength and DexteritySocketed Melee Gems have 15% increased Area of Effect
(30-50)% increased Physical Damage
Adds (65-75) to (100-110) Physical Damage
(6-12)% increased Attack Speed
Attack Skills gain 5% of Physical Damage as Extra Fire Damage per Socketed Red Gem
You have Vaal Pact while all Socketed Gems are RedSo the seed of hate was born,
Evil forged and Hope forsworn. - Marohi ErqiMarohi Erqi
Karui MaulTwo Hand Mace
Quality: +20%
Physical Damage: (454.4-497) to (665.6-728)
Critical Strike Chance: 5.00%
Attacks per Second: 0.90
Weapon Range: 13Requires Level 57, 182 Str45% increased Stun Duration on EnemiesSocketed Gems are Supported by Level 15 Pulverise
(200-230)% increased Physical Damage
Adds 30 to 40 Physical Damage
10% reduced Attack Speed
10% reduced Movement Speed
(40-50)% increased Stun Duration on Enemies
-100 to Accuracy RatingLumbering as a sea lion, clumsy as a berry-drunk pigeon. That was Erqi.
It mattered little. When Erqi's maul fell true, so did its target. - WideswingWideswing
PoleaxeTwo Handed Axe
Quality: +20%
Physical Damage: (69.6-81.2) to (103.2-120.4)
Critical Strike Chance: 5.00%
Attacks per Second: 1.30
Weapon Range: 15Requires Level 18, 44 Str, 25 DexSocketed Gems are Supported by Level 20 Increased Area of Effect
+10 to Strength
(120-160)% increased Physical Damage
+10 Mana gained on Kill
+(120-150) to Accuracy Rating
+2 to Weapon RangeBargg Wurmkin once severed the heads
of seven men in a single cleave. - Staves with the Gems in this item are Supported by level 1 Increased Area of Effect corrupted implicit modifier
