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Explain the differences between an inscribed angle and a central angle. Be sure to use complete sentences.

User Patel Jigar
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Solution:

In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle. Equivalently, an inscribed angle is defined by two chords of the circle sharing an endpoint

Central angle:

A central angle is an angle whose apex is the center O of a circle and whose legs are radii intersecting the circle in two distinct points A and B. Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one

In conclusion, Central Angles: Angles with the vertex located at the center of the circle. The measure of the central angle is the same as the measure of the arc it intercepts. Inscribed Angles: Angles with the vertex located on the circumference of the circle.

Explain the differences between an inscribed angle and a central angle. Be sure to-example-1
Explain the differences between an inscribed angle and a central angle. Be sure to-example-2
Explain the differences between an inscribed angle and a central angle. Be sure to-example-3
User Pencho Ilchev
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