Angles in Circles

Front

An angle whose vertex is the center of a circle is a(n) ______.

Back

central angle

Tags

CCSS.HSG.C.A.2

Front

What is the name of the angle formed by two chords in a circle that meet at a point on the circle?

Back

Inscribed angle

Tags

CCSS.8.G.A.5

Front

If the measure of a central angle is 60 degrees, what is the measure of the arc it intercepts?

Back

60 degrees

Tags

CCSS.HSG.C.A.2

Front

The sum of the measures of the angles formed by two intersecting chords is equal to what?

Back

The sum of the measures of the arcs intercepted by the angles.

Tags

CCSS.HSG.C.A.2

Front

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

Back

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

Tags

CCSS.HSG.C.A.2

Front

If the measure of an inscribed angle is 40 degrees, what is the measure of the intercepted arc?

Back

80 degrees

Tags

CCSS.HSG.C.A.2

Front

What is the formula for finding the length of an arc in a circle?

Back

Arc length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Tags

CCSS.HSG.C.B.5

Front

If the radius of a circle is 10 cm and the central angle is 90 degrees, what is the length of the arc?

Back

15.71 cm (Arc length = (90/360) * 2π*10)

Tags

CCSS.HSG.C.B.5

Front

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

Back

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

Tags

CCSS.HSG.C.A.2

Front

If two chords intersect inside a circle, how do you find the measure of the angles formed?

Back

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

Tags

CCSS.HSG.C.A.2