**Q1: **

With circles and touching at
, the shaded area is 331 cm^{2}. Given that
, determine the sum
of the two radii correct to the nearest hundredth.

**Q2: **

Given that the area of a circular sector is of the area of a circle. Find, in radians, the central angle, correct to one decimal place.

**Q3: **

Find the circumference of a circle whose area is 9.625 cm^{2}. Use .

**Q4: **

is the diameter of a semicircle of length 36 cm and . Find the area of the shaded part of the diagram giving the answer to two decimal places.

**Q5: **

The area of a circular sector is 122.5 and the length of the arc is 5 cm. Find the perimeter of the sector giving the answer to the nearest centimeter.

- A 54 cm
- B 490 cm
- C 29.5 cm
- D 103 cm

**Q6: **

Answer the following questions for the circle shown.

Work out the circumference giving your answer to two decimal places.

Work out the area of the circle giving your answer to two decimal places.

**Q7: **

Answer the following questions for the circle shown.

Work out the circumference giving your answer in terms of .

- A
- B
- C
- D
- E

Work out the area of the circle giving your answer in terms of .

- A
- B
- C
- D
- E

**Q8: **

The radius of a circle is 37 cm and the area of a sector
is 555 cm^{2}. Find the length of the arc giving the
answer to the nearest centimeter.

- A 7.5 cm
- B 15 cm
- C 60 cm
- D 30 cm

**Q9: **

The radius of a circle is 40 cm and the angle of a sector is 2.9 rad. Find the area of the sector giving the answer to the nearest square centimeter.

- A
58 cm
^{2} - B
4β640 cm
^{2} - C
9β280 cm
^{2} - D
2β320 cm
^{2} - E
116 cm
^{2}

**Q10: **

The circle of center and radius is divided into four sectors, each of perimeter 75 and arc length 33. Determine the radius and the area of each sector .

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

**Q11: **

and are two chords in the circle where and . Find the area of the minor sector giving the answer to the nearest square centimeter.

- A
435 cm
^{2} - B
19 cm
^{2} - C
870 cm
^{2} - D
10 cm
^{2}

**Q12: **

A pendulum of length 26 cm swings . Find the length of the circular pathway that the pendulum makes giving the answer in centimeters in terms of .

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

**Q13: **

The area of a circle is 1β539 cm^{2}
and the arc length of a sector is 36 cm.
Find the area of the sector giving the answer to the nearest square centimeter.

- A
1β594 cm
^{2} - B
797 cm
^{2} - C
199 cm
^{2} - D
398 cm
^{2}

**Q14: **

A circle has a radius of 4 cm and a segment has a central angle of 5.1 rad. Find the area of the segment giving the answer to two decimal places.

**Q15: **

A circle has a radius of 42 cm, where and are two radii in the circle, and . Determine the area of the circular sector to the nearest square centimetre.

**Q16: **

Determine the circumference of a circle whose area is 88β704 cm^{2}, taking .

**Q17: **

The diameter of a circle is 78 cm and the arc length of a sector is 22 cm. Find the area of the sector, giving your answer to the nearest square centimeter.

- A
858 cm
^{2} - B
100 cm
^{2} - C
61 cm
^{2} - D
429 cm
^{2}

**Q18: **

The radius of a circle is 7 cm and the central angle of a sector is . Find the perimeter of the sector to the nearest centimeter.

- A 7 cm
- B 14 cm
- C 16 cm
- D 19 cm

**Q19: **

What is the circumference of a circle whose area is cm^{2}. Express your answer in terms of .

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

**Q20: **

is an equilateral triangle with a side length of 66 cm. An arc is drawn from a circle with centre cutting at point , at point and touching at point . Find the area of the part of the triangle bounded by , , and the arc giving the answer to two decimal places.

**Q21: **

is an equilateral triangle with a side length of cm. An arc is drawn from a circle with centre cutting at point , at point and touching at point . Find the area of the part of the triangle bounded by , , and the arc giving the answer to two decimal places.

**Q22: **

Answer the following questions for the circle shown.

Work out the circumference giving your answer to two decimal places.

Work out the area of the circle giving your answer to two decimal places.

**Q23: **

The area of a circular sector is 3β872 cm^{2} and the arc length is equal to the radius. Find the perimeter giving the answer to the nearest centimetre.

**Q24: **

The area of a circular sector is 512 cm^{2} and the arc length is equal to the radius. Find the perimeter giving the answer to the nearest centimetre.

**Q25: **

The radius of a circle is 21 cm and the angle of a sector is . Find the area of the sector giving the answer to the nearest square centimeter.

- A
151 cm
^{2} - B
23 cm
^{2} - C
4β055 cm
^{2} - D
473 cm
^{2} - E
193 cm
^{2}