Math
Inscribed Angle Calculator
Find the inscribed angle from its central angle (it is half).
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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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