Flashcard on Arcs, Inscribed and Central Angles

Front

What is the definition of a central angle?

Back

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

Front

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

Back

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

Front

What is an inscribed angle?

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

Front

What is the relationship between an inscribed angle and its intercepted arc?

Back

The measure of an inscribed angle is half the measure of its intercepted arc.

Front

If the measure of arc ABC is 210°, what is the measure of ∠AOC?

Back

150°

Front

Solve for the missing angle: If ∠A + ∠B = 90° and ∠A = 45°, what is ∠B?

Back

45°

Front

Find m∠PRQ if it is an inscribed angle that intercepts an arc measuring 102°.

Back

51°

Front

If the measure of arc DE = 180°, what is the measure of the central angle ∠DOE?

Back

180°

Front

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

Back

Measure of inscribed angle = 1/2 * (measure of intercepted arc).

Front

If ∠X is an inscribed angle that intercepts an arc measuring 80°, what is the measure of ∠X?

Back

40°