Circles: Central and Inscribed angles

Front

What is a circle?

Back

A circle is a set of points in a plane that are equidistant from a fixed point called the center.

Front

What is the central angle of 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 an inscribed angle?

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

Tags

CCSS.HSG.C.A.2

Front

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

Back

The measure of a central angle is equal to the measure of its intercepted arc.

Tags

CCSS.HSG.C.B.5

Front

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

Back

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

Tags

CCSS.HSG.C.A.2

Front

If the measure of an inscribed angle is 75 degrees, what is the measure of its intercepted arc?

Back

150 degrees.

Tags

CCSS.HSG.C.A.2

Front

If the measure of a central angle is 140 degrees, what is the measure of its intercepted arc?

Back

140 degrees.

Front

If the measure of an inscribed angle is 114 degrees, what is the measure of its intercepted arc?

Back

228 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of a right angle?

Back

90 degrees.

Tags

CCSS.4.G.A.1

Front

What is the sum of the measures of angles around a point?

Back

360 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1