Central and Inscribed Angles

Front

What is a central angle?

Back

An angle in a circle with its vertex at the center of the circle.

Front

What is an inscribed angle?

Back

An angle in a circle with its vertex on the circle itself and whose sides are chords of the circle.

Front

What is the relationship between a central angle and an inscribed angle that subtend the same arc?

Back

The measure of the inscribed angle is half the measure of the central angle.

Front

Back

Front

What is the formula to find the measure of an inscribed angle?

Back

The measure of an inscribed angle is given by: \( m\angle = \frac{1}{2} m\angle_{central} \) where \( m\angle_{central} \) is the measure of the central angle.

Front

Back

Front

Back

Front

What is the difference between a chord and an inscribed angle?

Back

A chord is a line segment with both endpoints on the circle, while an inscribed angle is formed by two chords that share an endpoint on the circle.

Front

How do you find the measure of an angle formed by two intersecting chords inside a circle?

Back

The measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Front

Back