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

Radius or     Diameter
Arc Length
Arc Length
Radius or     Diameter

sector area

Sector Area Formula

1. Knowing the radius and angle for a sector,

    the sector area formula is

    A = πr2(θ/360)

    r = radius.
    θ = degrees.


    A = r2 x θ/2
    where θ = radians.

2. Knowing the arc length and angles,

    the sector area formula is

    A = L2/θ x 2

    θ = radians.
    L = Arc Length.

3. Knowing the arc length and radius,

    the sector area formula is

    A = L x r / 2

    L = Arc Length.
    r = radius.

Quadrant Area Formula

The Quadrant area formula is

A = πr2/4

r = radius.

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

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