Angles in Circles Review

Front

What is the measure of an angle formed by two intersecting chords in a circle?

Back

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

Front

What is the relationship between the angles formed by a tangent and a chord?

Back

The angle formed by a tangent and a chord through the point of contact is equal to half the measure of the intercepted arc.

Front

How do you find the measure of an angle when the vertex is on the circle?

Back

The measure of 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 the circle?

Back

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

Front

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

Back

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

Front

If two chords intersect inside a circle, how do you find the measure of the angles formed?

Back

The measure of each angle is equal to half the sum of the measures of the arcs intercepted by the angle.

Front

What is the measure of a semicircle?

Back

The measure of a semicircle is 180 degrees.

Front

What is the total measure of angles around a point?

Back

The total measure of angles around a point is 360 degrees.

Front

If an arc measures 280 degrees, what is the measure of the corresponding central angle?

Back

The measure of the corresponding central angle is also 280 degrees.

Front

What is the formula for finding the length of an arc?

Back

The length of an arc can be found using the formula: Length = (θ/360) * 2πr, where θ is the angle in degrees and r is the radius.