Central Angles Inscribed Angles

What is the relationship between a central angle and an inscribed angle that intercept the same arc?

• The central angle is twice the measure of the inscribed angle.

• The central angle is half the measure of the inscribed angle.

• The central angle is equal to the measure of the inscribed angle.

• The central angle is three times the measure of the inscribed angle.

What is a central angle of a circle?

• An angle whose vertex is at the center of the circle and whose sides are tangent to the circumference of the circle.

• An angle whose vertex is at the center of the circle and whose sides do not intersect with the circumference of the circle.

• An angle whose vertex is at the center of the circle and whose sides are parallel to the circumference of the circle.

• An angle whose vertex is at the center of the circle and whose sides pass through two points on the circumference of the circle.

What is an inscribed angle of a circle?

• An inscribed angle of a circle is an angle formed by two secants of the circle that intersect at a point inside the circle.

• An inscribed angle of a circle is an angle formed by two radii of the circle that intersect at the center of the circle.

• An inscribed angle of a circle is an angle formed by two tangents of the circle that intersect at a point outside the circle.

• An inscribed angle of a circle is an angle formed by two chords of the circle that have a common endpoint on the circle.

What is the measure of a central angle that intercepts a semicircle?

• 360 degrees

• 180 degrees

• 90 degrees

• 45 degrees

What is the measure of an inscribed angle that intercepts a semicircle?

• 90 degrees

• 270 degrees

• 45 degrees

• 180 degrees

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

• The measure of an inscribed angle is equal to the measure of its intercepted arc.

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

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

• The measure of an inscribed angle is unrelated to the measure of its intercepted arc.

If the measure of arc ABC = 210°, what is the measure of arc AC?

• 150°

• 100°

• 210°

• 105°

• A
• B
• C
• D

Find the measure of arc AB.

• 17

• 34

• 68

• 146

Angle a is a(n) ___ angle.

• central

• inscribed