EVERYDAY CLARITY

Sector Calculator

What is the area of a circular sector with this radius and angle? Enter the values below to calculate the result.

Enter your values

01

Use a dot or comma for decimals.

Your result
result
3.14159265359 length^2

Result for the values shown.

Calculations run in your browser.

What to enter
InputMeaning and units
Radius (length)Enter the radius, which is half the diameter.
Central angle (degree)Enter central angle in degree; use the same basis as the other measurements.

Understanding your result

Read result (length^2) in the units and model stated on this page. The formula result=r*r*theta*pi/360 defines the relationship; measurement accuracy and model applicability are separate from numerical precision.

Common mistakes

  • Entering the diameter where the radius is requested.

Check your calculation

  • Use the worked example as a known reference case, then change one input at a time and check the direction and units of the response.

Calculation checks, sources and review limits

What is the area of a circular sector with this radius and angle?

What is the area of a circular sector with this radius and angle? Enter the values below to calculate the result.

Common uses

  • What is the area of a circular sector with this radius and angle

How it works

result=r*r*theta*pi/360

Worked example

Enter Radius: 2 length; Central angle: 90 degree. Results: result: 3.141592653589793 length^2.