Math

Inscribed Angle Calculator

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

Parameters Live Compute
Calculated Output
Inscribed angle (°) 40
Formula: inscribed = central ÷ 2
Step-by-Step Breakdown
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°.

Frequently Asked Questions

What about an angle in a semicircle?

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

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