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Exterior Angle of a Regular Polygon Calculator

⬛ Area & perimeter (2D). Use the Exterior angle of a regular polygon formula to find exterior angle, number of sides: pick the value you want, type the others, and the answer updates as you go.

e=360∘ne = \dfrac{360^\circ}{n}

Each interior angle is 180° − e.

Exterior angle72 °

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Exterior angle°
Number of sidesno unit

Worked example

Find the exterior angle when Number of sides = 5.

Using e = 360°/n: Exterior angle = 72 °.

Frequently asked questions

What is the formula for Exterior angle of a regular polygon?

e = 360°/n. Each interior angle is 180° − e.

What do the letters stand for, and what units are used?

Exterior angle in °, Number of sides.

How do you calculate exterior angle?

Put the values into e = 360°/n. For example, with Number of sides = 5, exterior angle = 72 °.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (exterior angle, number of sides) and fill in the others: it rearranges the formula for you.

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