Online Calculators > Math Calculators > Sector Area Calculator

# Sector Area Calculator

Sector area calculator calculates the area of a sector of a circle by knowing its radius or diameter, central angle, or arc length.

## Sector Area Calculator

Angle
Area
 Arc Length Angle Degree Radian Area
 Arc Length Radius or     Diameter Area

## Sector Area Formula

1. Knowing the radius and angle for a sector,

the sector area formula is

A = πr2(θ/360)

where
θ = degrees.

Or

A = r2 x θ/2

2. Knowing the arc length and angles,

the sector area formula is

A = L2/θ x 2

where
L = Arc Length.

3. Knowing the arc length and radius,

the sector area formula is

A = L x r / 2

where
L = Arc Length.

A = πr2/4

where

Quadrant is 1/4 of a circle, therefore a circle area divided by 4 will get a quadrant area.

For example, if a quadrant with a radius of 10, to calculate its area step by step,

A = πr2/4
= 3.1415 x 10 x 10/4

=78.54
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