# Central Angles and Inscribed Angles Answer Key

Central angles and inscribed angles are two different types of angle measurements used in mathematics. A central angle is an angle formed by two radii in a circle. The measure of a central angle is equal to the measure of the intercepted arc. An inscribed angle is an angle formed by two chords in a circle. The measure of an inscribed angle is equal to one-half the measure of the intercepted arc. Understanding the differences between central and inscribed angles can help answer questions involving these angles.

## What is a Central Angle? A central angle is an angle formed by two radii in a circle. The vertex of the angle is the center of the circle. The measure of a central angle is equal to the measure of the intercepted arc. The two radii form two sides of the angle, and the circumference of the circle forms the third side. Central angles can be used to measure the size of sectors in a circle.

## What is an Inscribed Angle? An inscribed angle is an angle formed by two chords in a circle. The vertex of the angle is at the intersection of the two chords. The measure of an inscribed angle is equal to one-half the measure of the intercepted arc. The two chords form two sides of the angle, and the circumference of the circle forms the third side. Inscribed angles can be used to measure the size of arcs in a circle.

## How to Answer Questions Involving Central Angles and Inscribed Angles When answering questions involving central angles and inscribed angles, it is important to remember the differences between the two types of angles. For questions involving central angles, remember that the measure of the angle is equal to the measure of the intercepted arc. For questions involving inscribed angles, remember that the measure of the angle is equal to one-half the measure of the intercepted arc. Understanding these differences can help you answer questions involving central angles and inscribed angles.

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Central angles and inscribed angles are two different types of angle measurements used in mathematics. Central angles are formed by two radii in a circle, and the measure of the angle is equal to the measure of the intercepted arc. Inscribed angles are formed by two chords in a circle, and the measure of the angle is equal to one-half the measure of the intercepted arc. Understanding the differences between central and inscribed angles can help answer questions involving these angles.