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Question

What is central angle?


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Solution

Central angle.

The angle subtended at the center of a circle by two given points on the circle. It's arms are the radii of the circle.

Lesson Explainer: Central Angles and Arcs | Nagwa

Formula to compute the central angle,θ is:

θ=Arclength×360°2π×r

Here, r is radius of the circle.

Thus, the angle subtended at the center of a circle by two given points on the circle is called central angle.


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