**Q5: **

A circle has a radius of 7.22 cm. Find the central angle that subtends an arc of length 12.53 cm, giving the answer to the nearest second.

- A
- B
- C
- D
- E

**Q6: **

A circle has a radius of 7.19 cm. Find the central angle that subtends an arc of length 11.21 cm, giving the answer to the nearest second.

- A
- B
- C
- D
- E

**Q7: **

An arc covers of a circleβs circumference and the circle has a radius of 78 cm. Find, to the nearest hundredth, the measure and the length of the arc, using as an approximation for .

- A , 54.45 cm
- B , 108.91 cm
- C , 54.45 cm
- D , 108.91 cm

**Q8: **

The radius of a sundial is 35 cm and the shadow changes at a rate of every hour. Find in terms of the arc length of the rotation of the shadow after 10 hours.

- A cm
- B cm
- C cm
- D cm

**Q9: **

The radius of a sundial is 26 cm and the shadow changes at a rate of every hour. Find in terms of the arc length of the rotation of the shadow after 4 hours.

- A cm
- B cm
- C cm
- D cm

**Q10: **

The length of an arc in a circle is where is the radius of the circle. Find the central angle subtending the arc in radians giving the answer to one decimal place.

**Q11: **

The length of an arc in a circle is where is the radius of the circle. Find the central angle subtending the arc in degrees giving the answer to the nearest second.

- A
- B
- C
- D

**Q12: **

A circle has a central angle of which subtends an arc of length cm. Find the diameter of the circle to the nearest centimeter.

- A 11 cm
- B 44 cm
- C 28 cm
- D 22 cm

**Q13: **

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

- A
- B
- C
- D
- E

**Q14: **

Calculate the length of an arc on Earthβs surface that subtends an angle of 7 minutes at Earthβs center knowing that of a degree. Take Earthβs radius to be miles.

**Q15: **

An arc in a circle measures . What angle does it subtend?

**Q16: **

In the given figure, the circumference is 15 and is . Find the length of .

- A
- B 5
- C
- D
- E

**Q17: **

Given that is a tangent to the circle , where it touches it at the point ,, and , find the length of .

**Q18: **

is a circle of radius 19 cm. Determine, to the nearest hundredth, the length of .

**Q19: **

The radius of a circle is 15 cm and the arc length of a sector is 16 cm. Find the central angle giving the answer to the nearest second.

- A
- B
- C
- D

**Q20: **

For the given figure, is the center of the circle and is the measure of arc .

Write down an expression for the circumference of the circle.

- A
- B
- C
- D
- E

If is measured in degrees, what fraction of the circleβs circumference is arc ?

- A
- B
- C
- D
- E

Write an expression for the length of arc , given that is measured in degrees.

- A
- B
- C
- D
- E

**Q21: **

Given that , find the length of rounded to the nearest integer.

**Q22: **

The area of a circular sector is 815.1 cm^{2} and the central angle is . Find the arc length of the sector giving the answer to the nearest centimeter.

- A 84 cm
- B 39 cm
- C 3 cm
- D 42 cm

**Q23: **

Determine, to the nearest hundredth, the length of .

**Q24: **

What angle is subtended by an arc of length 20 in a circle of circumference 80?

**Q25: **

.