In this worksheet, we will practice finding measures of arcs.

**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 .

**Q5: **

An arc measures of the circumference of a circle. What angle does the arc subtend at the centre?

- A
- B
- C
- D

**Q6: **

Suppose that . Determine .

**Q7: **

What is ?

**Q8: **

Find and .

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

**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 .