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Area of a Sector Calculator

⬛ Area & perimeter (2D). Use the Area of a sector formula to find sector area, angle θ, radius: pick the value you want, type the others, and the answer updates as you go.

A=θ360×πr2A = \dfrac{\theta}{360} \times \pi r^2
Sector area13.09 cm²

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Sector areacm²
Angle θ°
Radiuscm

Worked example

Find the sector area when Angle θ = 60 °, Radius = 5 cm.

Using A = θ/360 × π r²: Sector area = 13.09 cm².

Frequently asked questions

What is the formula for Area of a sector?

A = θ/360 × π r².

What do the letters stand for, and what units are used?

Sector area in cm², Angle θ in °, Radius in cm.

How do you calculate sector area?

Put the values into A = θ/360 × π r². For example, with Angle θ = 60 °, Radius = 5 cm, sector area = 13.09 cm².

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (sector area, angle θ, radius) and fill in the others: it rearranges the formula for you.

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