central and inscribed Angles/Arcs

Front

What is a central angle?

Back

An angle whose vertex is at the center of the circle and whose sides intersect the circle.

Tags

CCSS.HSG.C.A.2

Front

What is an inscribed angle?

Back

An angle with its vertex on the circle and whose sides are chords of the circle.

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 intercepted arc is 80 degrees, what is the measure of the inscribed angle that intercepts it?

Back

40 degrees.

Tags

CCSS.HSG.C.A.2

Front

If an inscribed angle measures 30 degrees, what is the measure of the intercepted arc?

Back

60 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the formula to find the measure of a central angle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

What is the formula to find the measure of an inscribed angle?

Back

The measure of an inscribed angle = 1/2 * (measure of the intercepted arc).

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an angle formed by two chords that intersect inside a circle?

Back

The measure of the angle is equal to half the sum of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an angle formed by two secants that intersect outside a circle?

Back

The measure of the angle is equal to half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2