# 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 angles are in a circle?

**Q3: **

How many turns are needed to make a complete turn?

**Q4: **

How many angles does it take to make a full turn?

**Q5: **

Jacob turns one-third of a full turn. How many degrees is this?

**Q6: **

This circle is divided into 3 equal parts. What is the angle of each part?

**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

**Q11: **

In the figure, given that the circumference is 96 and , find .

**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