Central and Inscribed Angles

Front

What is a central angle in a circle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides are radii that extend to the circumference.

Tags

CCSS.HSG.C.A.2

Front

What is an inscribed angle in a circle?

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 circumference of the circle.

Front

What is the relationship between a central angle and an inscribed angle that subtend the same arc?

Back

The measure of a central angle is twice the measure of the inscribed angle that subtends the same arc.

Tags

CCSS.HSG.C.A.2

Front

If segment LO is a diameter of Circle P, what is the measure of angle LMO?

Back

90°.

Front

What is the definition of a chord in a circle?

Back

A chord is a line segment with both endpoints on the circumference of the circle.

Front

How do you calculate the measure of an inscribed angle?

Back

The measure of an inscribed angle is half the measure of the arc it intercepts.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an angle formed by two tangents drawn from a point outside the circle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the angles formed by two secants that intersect outside the circle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

What is the significance of a diameter in relation to angles in a circle?

Back

An angle inscribed in a semicircle is a right angle (90°).

Tags

CCSS.HSG.C.A.2

Front

What is the formula for the measure of a central angle?

Back

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

Tags

CCSS.HSG.SRT.C.8