Skip to content
Calculation Machine

Sector Area Calculator

Area of a pie slice of a circle.

Reviewed by the Calculation Machine team · How we check our maths

Your values

ⓘ Live results

Results
Sector area
52.3599
Arc length
10.472
Segment area
9.0586
Chord length
10
Share of full circle
16.67%

Quick answer

A sector's area is half the radius squared times the angle in radians.

The formula

A = ½r²θ

Worked example

Worked example

Using the values the calculator loads with.

Inputs

  • Radius10
  • Central angle60 degrees

Result

  • Sector area52.3599
  • Arc length10.472
  • Segment area9.0586
  • Chord length10
  • Share of full circle16.67%

How to use the Sector Area Calculator

  1. 1Enter the circle radius.
  2. 2Enter the sector's central angle in degrees.
  3. 3Read sector and segment areas.

Frequently asked questions

What is a segment?

The region between a chord and the arc — the sector minus the triangle.

How do I get the angle from the arc?

Divide arc length by radius for radians.

About this calculator