# Worksheet: Central Angles in a Circle

In this worksheet, we will practice identifying a central angle in a circle and finding its measure using its properties.

**Q2: **

How many 1 ∘ angles are in a circle?

**Q3: **

How many turns are needed to make a complete turn?

**Q7: **

What is the value of the central angle of a circular sector when a circular segment and a circular sector have the same area?

**Q9: **

, , and are three points on a circle with radius 54 cm and center . The point is the intersection of and and we have and . Find the central angle of the major circular segment giving the answer to the nearest second.

- A
- B
- C
- D

**Q12: **

What is the measure of half a circle?

**Q13: **

Circle has radius 32 and . Determine and to the nearest hundredth.

- A, 56.50
- B, 28.25
- C, 16.97
- D, 15.03

**Q16: **

The given figure shows a circle with center .

Which of the following is a **central angle**?

- A
- B
- C
- D
- E

Which of the following is an **inscribed angle**?

- A
- B
- C
- D
- E

Which of the following is a **circumscribed angle**?

- A
- B
- C
- D
- E