Circles: Angle & Arc Relationships

Front

What is the relationship between inscribed angles that share the same intercepted arc?

Back

If two inscribed angles share an intercepted arc, then the angles are congruent.

Front

What is the measure of arc MN in a circle if the options are A, B, C, D?

Back

B

Front

If x is the value to find in a circle problem, and the options are x = 17, x = 16, x = 29.67, x = 18, what is x?

Back

x = 18

Front

What is the measure of angle ADC if the options are 123°, 57°, 132°, 66°?

Back

66°

Front

How do you find the measure of an indicated arc in a circle?

Back

The measure of an indicated arc can be found using the central angle that subtends the arc.

Front

What is the definition of 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 intersect the circle.

Front

What is the relationship between central angles that share the same intercepted arc?

Back

If two central angles share an intercepted arc, then the angles are congruent.

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

How do you calculate the measure of an inscribed angle?

Back

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

Front

What is the formula for the circumference of a circle?

Back

C = 2πr, where r is the radius of the circle.