Central and Inscribed Angles

Front

What is a central angle in a circle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides are radii that intersect the circle.

Front

What is an inscribed angle in a circle?

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle.

Front

How do you calculate the measure of a central angle?

Back

The measure of a central angle is equal to the measure of the arc that it intercepts.

Front

How do you calculate the measure of an inscribed angle?

Back

The measure of an inscribed angle is half the measure of the arc that it intercepts.

Front

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

Back

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

Front

What is the formula for the measure of an arc in a circle?

Back

The measure of an arc can be calculated using the formula: Arc Measure = (Central Angle Measure) in degrees.

Front

What is the relationship between the angles formed by two intersecting chords in a circle?

Back

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

Front

How do you find the measure of an arc if you know the inscribed angle?

Back

To find the measure of the arc, multiply the measure of the inscribed angle by 2.

Front

What is the measure of a semicircle?

Back

The measure of a semicircle is 180 degrees.

Front

What is the significance of the vertex of an inscribed angle?

Back

The vertex of an inscribed angle is located on the circle, which is crucial for determining the angle's measure.