# Worksheet: The Sum of Central Angles

In this worksheet, we will practice identifying central angles and finding their measures using their portion of the circle and their sum.

**Q2: **

How many angles are in a circle?

**Q3: **

How many turns are needed to make a complete turn?

- A6
- B5
- C8
- D4
- E3

**Q4: **

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

- A12
- B10
- C15
- D8
- E9

**Q5: **

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

- A
- B
- C
- D
- E

**Q6: **

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

- A
- B
- C
- D
- E

**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

**Q10: **

A circle has a circumference of units. Find, in degrees, the measure of the central angle of an arc with a length of units.

**Q11: **

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

**Q12: **

What is the size of half a circle?

- A
- B
- C
- D
- E

**Q13: **

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

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