Inscribed Angle Calculator

Find the inscribed angle from its central angle (it is half).

Inscribed angle (°) 40

Formula: inscribed = central ÷ 2

Step-by-step with your numbers:
1. Values used:
2. Central angle = 80 °
3.
4. Inscribed angle = 40°
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An inscribed angle is exactly half of the central angle that subtends the same arc.

The math behind it

The Inscribed Angle Theorem: an angle drawn from the circle to an arc is half the central angle on that same arc.

Worked example

Central angle 80° → inscribed angle 40°.

FAQ

What about an angle in a semicircle?

It is always 90°, since the central angle (the diameter) is 180°.