HG M7 Angles in Circles

Front

What is the measure of an arc in a circle?

Back

The measure of an arc is the degree measure of the central angle that subtends the arc.

Front

How do you find the measure of arc AB if the central angle is given?

Back

The measure of arc AB is equal to the measure of the central angle that subtends it.

Tags

CCSS.HSG.C.B.5

Front

What is the relationship between the angles formed by two intersecting chords in a circle?

Back

The measure of the angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Tags

CCSS.HSG.C.A.2

Front

If angle 2 measures 40 degrees, what is the measure of the arc it subtends?

Back

The measure of the arc subtended by angle 2 is 80 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

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

Back

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

Tags

CCSS.HSG.C.A.2

Front

If the measure of arc AB is 68 degrees, what is the measure of the central angle subtending arc AB?

Back

The measure of the central angle subtending arc AB is also 68 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of a full circle in degrees?

Back

A full circle measures 360 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

How do you calculate the measure of an angle formed by two tangents drawn from a point outside the 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

Front

What is the measure of the angle formed by two secants intersecting outside the circle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

If the measure of arc AC is 120 degrees, what is the measure of the angle formed at the center of the circle?

Back

The measure of the angle formed at the center of the circle is 120 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1