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Interior & Exterior Angles Calculator

Result

Calculated result 5 Based on the values entered.
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Interior & Exterior Angles Calculator — free online calculator.

Formula

Interior angle = (n−2)×180/n; Exterior angle = 360/n; Sum of interior = (n−2)×180; Diagonals = n(n−3)/2
  • Interior & Exterior Angles Calculator calculates its result from Number of Sides. It uses the formula Interior angle = (n−2)×180/n; Exterior angle = 360/n; Sum of interior = (n−2)×180; Diagonals = n(n−3)/2. Change any input to recalculate the result instantly.
  • The main inputs are Number of Sides. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Interior & Exterior Angles

Inputs
  • Number of Sides: 5

Using Number of Sides = 5, the calculated result is 5.

Sample result: Calculating…

Frequently asked questions

What does the Interior & Exterior Angles calculate?

Interior & Exterior Angles Calculator — free online calculator.

Which values should I enter?

Enter Number of Sides using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Interior angle = (n−2)×180/n; Exterior angle = 360/n; Sum of interior = (n−2)×180; Diagonals = n(n−3)/2.

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026