Circles and Central and Inscribed Angles

Multiple Select

• $$\angle FDE$$  

• $$\angle DAC$$  

• $$\angle BAC$$  

• $$\angle BAE$$  

• $$\angle ACD$$  

Vocab:

• Inscribed angle: When two lines connect one point on the surface of a circle with two other points on that circle

• Intercepted arc: an arc formed when one or two different chords or line segments cut across a circle

The Inscribed angle Theorem:

The measure of the inscribed angle is HALF the measure of the intercepted arc

Inscribed angles:

The measure of the inscribed angle is half the angle of the central angle (remember that central angles and intercepted arcs have the same measure).

Multiple Choice

What is the measure of the INTERCEPTED ARC?

• 72°

• 36°

• 30°

• 180°

Multiple Choice

What is the measure of the INSCRIBED ANGLE?

• 62°

• 124°

• 31°

• 180°

Multiple Choice

What is the measure of the INSCRIBED ANGLE?

• 324°

• 162°

• 81°

• 51°

Multiple Choice

• 23.5

• 180

• 86˚

• 360

Multiple Choice

What is the measure of the INSCRIBED ANGLE?

• 30°

• 50°

• 100°

• 60°

Fill in the Blanks

What is the measure of angle 2?

Multiple Choice

• 113

• 226

• 56.5

• 180