WU: Angles of a circle

Front

What is the definition of a chord in a circle?

Back

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

Front

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

Back

The measure of the angle formed 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

How do you calculate 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 arcs intercepted by the angle.

Tags

CCSS.HSG.C.A.2

Front

What is the formula to find the measure of an angle formed by a tangent and a chord?

Back

The measure of the angle is equal to half the measure of the intercepted arc.

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

Front

If two chords intersect at point P inside a circle, and the measures of the arcs are 140° and 66°, how do you find the angle at P?

Back

Use the formula: m∠P = 1/2(140 + 66).

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 equal to half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

Front

What is the definition of an inscribed angle?

Back

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

Front

How do you find the measure of an inscribed angle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the central angle and the inscribed angle that subtends the same arc?

Back

The central angle is twice the measure of the inscribed angle.

Tags

CCSS.HSG.C.A.2