Angles in Circles Review

Front

What is the measure of an angle formed by two chords that intersect inside a circle?

Back

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

Front

What is the relationship between the angle formed by a tangent and a chord through the point of contact?

Back

The angle is equal to half the measure of the intercepted arc.

Front

What is the measure of an angle formed by two secants that intersect outside a circle?

Back

The measure of the angle is equal to half the difference of the measures of the intercepted arcs.

Front

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

Back

Arc length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Front

What is the formula for finding the area of a sector in a circle?

Back

Area of sector = (θ/360) * πr², where θ is the central angle in degrees and r is the radius.

Front

If two angles are inscribed in a circle and intercept the same arc, what can be said about those angles?

Back

The angles are equal.

Front

What is the measure of a central angle in a circle?

Back

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

Front

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

Back

The measure of the angle formed is equal to the average of the measures of the arcs intercepted by the chords.

Front

What is the measure of an angle formed by a tangent and a secant drawn from the same external point?

Back

The measure of the angle is equal to half the difference of the measures of the intercepted arcs.

Front

If an angle measures 50 degrees, what is the measure of the arc it intercepts?

Back

The measure of the arc is 100 degrees if the angle is inscribed, or 50 degrees if the angle is central.