# Worksheet: Measures of Arcs

In this worksheet, we will practice finding measures of arcs based on the measures of central and inscribed angles.

**Q2: **

Which of these is equal to the measure of an arc?

- Athe measure of the central angle subtended by that arc
- Bthe inscribed angle subtended by that arc

**Q3: **

Find the measure of the arc that represents of the circumference of a circle.

**Q4: **

Given that is a diameter in circle of center and , determine .

**Q6: **

Suppose that . Determine .

**Q7: **

What is ?

**Q9: **

and are two points on a circle center so that the measure of is of that of its reflex angle. What is the minor arc ?

**Q10: **

Given that and , find .

**Q11: **

Given that measure arc the measure of arc , find .

**Q12: **

Find .

**Q13: **

An arc has a measure of .

What is the measure of the central angle?

What is the measure of the inscribed angle?

What is the measure of the circumscribed angle?

**Q16: **

Find the measure of the arc that represents of the circumference of a circle.

**Q17: **

Given that is a diameter in circle of center and , determine .

**Q18: **

Given that is a diameter in circle of center and , determine .

**Q19: **

Given that is a diameter in circle of center and , determine .

**Q20: **

If , what is ?

**Q21: **

Given that , find , and .

- A, ,
- B, ,
- C, ,
- D, ,

**Q24: **

In the given figure, which of the following would represent the minor arc passing through and ?

- A
- B
- C
- D
- E