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Circular Sector Calculator

Find the area of a circular sector and its arc length. The central angle is entered in degrees from 0 to 360.

Enter your values

Enter a numeric value. Distance from the centre to the edge; half the diameter. Must be greater than zero.
°
Required unit: °. Use a non-negative value. Allowed range: 0–360.

Use a decimal point, without thousands separators.

Example result
Area
19.63495408
Arc length7.85398163

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Find the area of a circular sector and its arc length. The central angle is entered in degrees from 0 to 360.

Inputs and units
Circular Sector Calculator · Inputs and units
InputExample valueWhat to enter
Radius5Enter a numeric value. Distance from the centre to the edge; half the diameter. Must be greater than zero.
Central angle90 °Required unit: °. Use a non-negative value. Allowed range: 0–360.
A = πr²θ/360; arc = 2πrθ/360

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Radius
5
Central angle
90 °

Complete example results

Area
19.63495408
Arc length
7.85398163

Reading the result

Enter lengths in the same unit. Area uses the square of that unit and volume its cube. Height is perpendicular to the base; use a sloping side only when the input explicitly asks for it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Methods & accuracy

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