Inscribed Circles

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. The vertex of the angle is on the circle.

Front

What is the relationship between an inscribed angle and the arc it intercepts?

Back

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

Tags

CCSS.HSG.C.A.2

Front

How do you find the measure of an arc in a circle?

Back

To find the measure of an arc, you can use the inscribed angle that intercepts the arc. The measure of the arc is twice the measure of the inscribed angle.

Tags

CCSS.HSG.C.B.5

Front

What is the measure of arc AB if the inscribed angle ACB measures 34 degrees?

Back

The measure of arc AB is 68 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the formula for the measure of an arc in terms of the inscribed angle?

Back

Measure of arc = 2 * Measure of inscribed angle.

Tags

CCSS.HSG.C.B.5

Front

What is the significance of the vertex of an inscribed angle?

Back

The vertex of an inscribed angle must lie on the circle for the angle to be considered inscribed.

Front

What is the measure of an inscribed angle if the intercepted arc measures 90 degrees?

Back

The measure of the inscribed angle is 45 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between central angles and inscribed angles?

Back

A central angle is equal to the measure of the arc it intercepts, while an inscribed angle is half the measure of the arc it intercepts.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of arc AB if the inscribed angle ACB measures 68 degrees?

Back

The measure of arc AB is 136 degrees.

Tags

CCSS.HSG.C.A.2

Front

How do you determine the measure of an angle formed by two tangents that intersect outside a circle?

Back

The measure of the angle formed by two tangents is equal to half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2