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Circular Segment Area Calculator

Find minor circular segment area as r²(θ − sin θ)/2. Use the same length unit throughout.

Free to useNo sign-upRuns in your browser
Enter your details

Enter the inputs, then select Calculate.

Allowed range: 1e-09 to 1,000,000,000.

Allowed range: 0 to 180.

Your result
Enter your details

Result will appear here

How Circular Segment Area Calculator works

Find minor circular segment area as r²(θ − sin θ)/2.

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Angle input is degrees; computation uses radians. Uses a series for small angles to avoid cancellation. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

Concept diagram for Circular Segment Area Calculator, showing circle radius input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Circular Segment Area Calculator

Follow the labelled inputs.

Enter circle radius

Replace the example with circle radius. The field labels specify the expected format and units.

Input and settings
Circular Segment Area Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check the remaining inputs

Set minor central angle (degrees). Use the same length unit throughout.

Tool result
Circular Segment Area Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Run, review and save

Select Calculate. Review the calculated result, then copy it or download the result text.

Review the details
Circular Segment Area Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Examples and uses for Circular Segment Area Calculator

Check the supplied example

The starting example produces 1.14159265359. Find minor circular segment area as r²(θ − sin θ)/2.

Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Use your own inputs

Read the labels for circle radius and minor central angle (degrees). Use the same length unit throughout.

Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Record a reviewed result

Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.

A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to read the result

Read the units and assumptions with the output.

Find minor circular segment area as r²(θ − sin θ)/2.

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Angle input is degrees; computation uses radians. Uses a series for small angles to avoid cancellation. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Supported input and limits

Check the stated scope before you run it.

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Angle input is degrees; computation uses radians. Uses a series for small angles to avoid cancellation. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

The input stays in this browser. Copy result and Download save the same displayed text.

Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

Circular Segment Area Calculator: common questions

Answers about using Circular Segment Area Calculator and understanding its results.

What inputs and assumptions apply?

Use the same length unit throughout. Areas use squared units and volumes use cubed units. Angle input is degrees; computation uses radians. Uses a series for small angles to avoid cancellation. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

How can I save the result?

Copy result copies the displayed text. Download saves the same text as a TXT file. Processing runs in this browser without an account.

Calculate with your input

Check the calculated result, then copy or download it.

Calculate