Exploring Central and Inscribed Angles

What is the definition of a central angle in a circle?

• An angle with its vertex outside the circle

• An angle with its vertex on the circle

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

• An angle formed by two tangents to the circle

If an arc measures 98 degrees, what is the measure of the central angle intercepting it?

• 196 degrees

• 24.5 degrees

• 98 degrees

• 49 degrees

Tags

CCSS.HSG.C.A.2

What is the relationship between the central angle and the arc it intercepts?

• The central angle is half the measure of the arc

• The central angle is twice the measure of the arc

• The central angle and the arc have the same measure

• There is no relationship

Tags

CCSS.HSG.C.A.2

What is the measure of an inscribed angle if it intercepts an arc of 160 degrees?

• 320 degrees

• 160 degrees

• 80 degrees

• 40 degrees

Tags

CCSS.HSG.C.A.2

How do you find the measure of an arc if you know the measure of the inscribed angle is 70 degrees?

• 280 degrees

• 70 degrees

• 140 degrees

• 35 degrees

Tags

CCSS.HSG.C.A.2

If the central angle measures 100 degrees, what is the measure of the arc it intercepts?

• 100 degrees

• 200 degrees

• 25 degrees

• 50 degrees

What is the measure of the remaining arc if one arc measures 100 degrees in a circle?

• 180 degrees

• 360 degrees

• 100 degrees

• 260 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

If an inscribed angle measures 40 degrees, what is the measure of its intercepted arc?

• 20 degrees

• 40 degrees

• 160 degrees

• 80 degrees

Tags

CCSS.HSG.C.A.2

What is the measure of an angle formed by two chords intersecting inside the circle, if one of the intercepted arcs measures 60 degrees?

• 60 degrees

• 90 degrees

• 120 degrees

• 30 degrees

Tags

CCSS.HSG.C.A.2

In a triangle formed by two radii and an intercepted arc, if one angle measures 30 degrees and another 20 degrees, what is the measure of the third angle?

• 150 degrees

• 130 degrees

• 120 degrees

• 140 degrees

Tags

CCSS.HSG.C.A.2