Understanding Circle Angles

The video tutorial explains the relationship between a central angle and an inscribed angle in a circle. It begins by identifying the circle's center and points on its circumference. The central angle ABC is given as 132 degrees, and the task is to find the measure of the inscribed angle ADC. Using the inscribed angle theorem, which states that an inscribed angle is half the measure of the central angle intercepting the same arc, the inscribed angle ADC is calculated to be 66 degrees.

What is the center of the circle in the video?

• Point D

• Point C

• Point B

• Point A

Which points lie on the circumference of the circle?

• Points A, B, and D

• Points A, C, and D

• Points B, C, and D

• Points A, B, and C

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the measure of the central angle ABC?

• 66 degrees

• 90 degrees

• 180 degrees

• 132 degrees

Tags

CCSS.HSG.C.A.2

What type of angle is ADC?

• Inscribed angle

• Central angle

• Acute angle

• Right angle

Which arc do angles ABC and ADC intercept?

• Arc CD

• Arc AB

• Arc BC

• Arc AC

Tags

CCSS.7.G.B.5

What is the measure of angle ADC?

• 33 degrees

• 66 degrees

• 99 degrees

• 132 degrees

Tags

CCSS.7.G.B.5