Inscribed angles and central angles

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, and the sides of the angle are the chords.

Front

What is a central angle?

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 circle.

Tags

CCSS.HSG.C.A.2

Front

How is the measure of an inscribed angle related to its intercepted arc?

Back

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

Tags

CCSS.HSG.C.A.2

Front

What is the formula for the circumference of a circle?

Back

C = 2πr, where r is the radius of the circle.

Tags

CCSS.7.G.B.4

Front

What is the relationship between the circumference and diameter of a circle?

Back

The circumference of a circle is equal to π times the diameter (C = πd).

Tags

CCSS.7.G.B.4

Front

Who was the Greek mathematician known for the best estimate of Pi?

Back

Archimedes.

Tags

CCSS.HSG.GMD.A.1

Front

What is the intercepted arc of an inscribed angle?

Back

The intercepted arc is the arc that lies in the interior of the inscribed angle and has endpoints on the angle.

Tags

CCSS.HSG.C.A.2

Front

If the measure of a central angle is 80 degrees, what is the measure of the intercepted arc?

Back

The measure of the intercepted arc is also 80 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the measures of two inscribed angles that intercept the same arc?

Back

The measures of the two inscribed angles are equal.

Tags

CCSS.HSG.C.A.2

Front

What is the definition of a chord in a circle?

Back

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