Exploring Central and Inscribed Angles

How many degrees does a full circle measure?

• 180 degrees

• 270 degrees

• 360 degrees

• 90 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the degree measure of a semicircle?

• 90 degrees

• 180 degrees

• 360 degrees

• 45 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

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

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

• The central angle and the arc have the same measure.

• The central angle and the arc have different measures.

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

Tags

CCSS.HSG.C.A.2

What defines an inscribed angle in a circle?

• Its sides are diameters.

• Its vertex is on the circle and its sides are chords.

• Its vertex is at the center of the circle.

• It intercepts the entire circle.

How does the arc measure relate to the inscribed angle measure?

• The arc is half the measure of the angle.

• The arc and the angle have the same measure.

• The arc is twice the measure of the angle.

• The arc is four times the measure of the angle.

Tags

CCSS.HSG.C.A.2

If a central angle measures 63 degrees, what is the measure of its intercepted arc?

• 94.5 degrees

• 126 degrees

• 31.5 degrees

• 63 degrees

Tags

CCSS.HSG.C.A.2

For an inscribed angle of 44 degrees, what is the measure of its intercepted arc?

• 176 degrees

• 88 degrees

• 44 degrees

• 22 degrees

Tags

CCSS.HSG.C.A.2

What is the measure of an inscribed angle if its intercepted arc is 158 degrees?

• 79 degrees

• 158 degrees

• 316 degrees

• 39.5 degrees

Tags

CCSS.HSG.C.A.2

If an angle intercepts a semicircle, what is its measure?

• 180 degrees

• 360 degrees

• 90 degrees

• 45 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the measure of the intercepted arc if the inscribed angle is 75 degrees?

• 150 degrees

• 75 degrees

• 37.5 degrees

• 225 degrees

Tags

CCSS.HSG.C.A.2