Central and Inscribed Angles

Front

What is the distance around a circle called?

Back

Circumference

Tags

CCSS.7.G.B.4

Front

Which angle is formed by two chords in a circle that share an endpoint?

Back

Inscribed Angle

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an inscribed angle in relation to the arc it intercepts?

Back

It is half the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

What is the term for a line segment that connects the center of a circle to any point on the circle?

Back

Radius

Front

What is the longest chord in a circle called?

Back

Diameter

Front

If the radius of a circle is 5 cm, what is the circumference? (Use π ≈ 3.14)

Back

Circumference = 2πr = 2 × 3.14 × 5 = 31.4 cm

Tags

CCSS.7.G.B.4

Front

What is the relationship between central angles and inscribed angles that intercept the same arc?

Back

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

Tags

CCSS.HSG.C.A.2

Front

If an inscribed angle measures 30°, what is the measure of the intercepted arc?

Back

60°

Tags

CCSS.HSG.C.A.2

Front

Which segment is not a radius if CA, CB, CD are radii and LM is a line segment outside the circle?

Back

LM

Front

How do you find the measure of an 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