© 2014 Shmoop University, Inc. All rights reserved.
Circles

Circles

Example 1

Given that ∠ACB is inscribed in a circle containing points A and B, and that m∠ACB = 42°, what is the measure of arc AB?

Example 2

Now suppose m∠ACB = 79°. What is the measure of arc AB?

Example 3

In the figure below, points A, B, and C are on ⊙O and m∠AOB = 138°. What is m∠ACB?

Example 4

Refer to the same figure, but suppose instead that m∠AOB = 55°. What is m∠ACB?

Example 5

In the figure below, points A, B, C, and D are on the circle. The measure of arc AB = 80° and the measure of arc BC is 90°. What is m∠ADC?

Example 6

In the figure below, ΔABC is inscribed in the circle (meaning that each angle of ΔABC is inscribed in the circle). If m∠A = 70° and m∠C = 50°, what is the measure of arc AC?

Advertisement
Advertisement
Advertisement