Exploring Central and Inscribed Angles

What defines a central angle in a circle?

• An angle with its vertex on the circle

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

• An angle formed outside the circle

• An angle that intersects the circle at two points

Tags

CCSS.HSG.C.B.5

How is the measure of a minor arc determined?

• It is independent of its central angle

• It is twice the measure of its central angle

• It is equal to the measure of its central angle

• It is half the measure of its central angle

Tags

CCSS.HSG.C.A.2

If an arc measures 80 degrees, what is the measure of the central angle that intercepts it?

• 160 degrees

• 120 degrees

• 80 degrees

• 40 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

How do you calculate the measure of an arc formed by a central angle of 120 degrees?

• 60 degrees

• 120 degrees

• 180 degrees

• 240 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the measure of a semicircle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

How can you identify a major arc?

• It is exactly 180 degrees

• It is named with three points

• It is less than 180 degrees

• It is named with two points

Tags

CCSS.HSG.C.A.2

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

• There is no relationship

• The angle measure is half the arc measure

• The angle measure is twice the arc measure

• The angle measure is equal to the arc measure

Tags

CCSS.HSG.C.A.2

What is the measure of an inscribed angle if its intercepted arc measures 100 degrees?

• 25 degrees

• 200 degrees

• 50 degrees

• 100 degrees

Tags

CCSS.HSG.C.A.2

If an inscribed angle measures 45 degrees, what is the measure of its intercepted arc?

• 180 degrees

• 135 degrees

• 90 degrees

• 45 degrees

Tags

CCSS.HSG.C.A.2

What is the measure of an angle formed by a tangent and a chord if the intercepted arc is 120 degrees?

• 60 degrees

• 240 degrees

• 120 degrees

• 30 degrees

Tags

CCSS.HSG.C.A.2