# The Basics of Circles Exercises

### Example 1

Consider a circle with center O and radius 20 m. Is P such that OP = 8 m in the interior of the circle, in the exterior of the circle, or on the circle?

### Example 2

Consider a circle with center O and radius 20 m. Is Q such that OQ = 30 cm in the interior of the circle, in the exterior of the circle, or on the circle?

### Example 3

Consider a circle with center O and radius 20 m. Is S such that OS = 20 m in the interior of the circle, in the exterior of the circle, or on the circle?

### Example 4

Consider a circle with center O and radius 20 m. Is O in the interior of the circle, in the exterior of the circle, or on the circle?

### Example 5

Consider a circle with center O and radius 20 m. Is T such that OT = 100 m in the interior of the circle, in the exterior of the circle, or on the circle?

### Example 6

Consider a circle with center O and radius 20 m. Is U such that OU > OS in the interior of the circle, in the exterior of the circle, or on the circle?

### Example 7

Consider a circle with center O and radius 20 m. Is V such that OS < OV < OU in the interior of the circle, in the exterior of the circle, or on the circle?

### Example 8

In the figure below, points A, B, C, and D are on ⊙O. If m∠BOC = 50°, m∠COD = 140°, and m∠DOA = 65°, what is m∠AOB?

### Example 9

In the figure below, suppose now that m∠BOC = 67° instead of 50°. How does the measure of m∠AOB change?