PAP Inscribed Angles & Segments in Circles

Front

Central angle

Back

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

Front

Inscribed angle

Back

An angle with its vertex on the circle.

Front

What is the measure of an inscribed angle if the intercepted arc measures 102°?

Back

51° (The inscribed angle is half the measure of the intercepted arc.)

Front

If the measure of angle A is 30°, what is the measure of the arc opposite to it?

Back

60° (The arc is twice the inscribed angle.)

Front

What is the relationship between a central angle and its intercepted arc?

Back

The measure of the central angle is equal to the measure of its intercepted arc.

Front

If two inscribed angles intercept the same arc, what can be said about their measures?

Back

They are equal.

Front

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

Back

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

Front

If a tangent and a chord intersect at a point on the circle, how do you find the measure of the angle formed?

Back

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

Front

What is the measure of angle PRQ if the intercepted arc PQ measures 102°?

Back

51° (Inscribed angle is half of the intercepted arc.)

Front

If the measure of angle A is 40° and it intercepts arc BC, what is the measure of arc BC?

Back

80° (The arc is twice the inscribed angle.)