**Q1: **

What is the area of a circular sector with a radius of length and a central angle of size ?

- A
- B
- C
- D

**Q2: **

Determine, to the nearest square yard, the area of the shaded sector of the shown circle.

**Q3: **

Shown is a sector of a circle. If its perimeter is 39 mm, what is its area?

**Q4: **

Find the area of the shaded part of the diagram in terms of .

- A cm
^{2} - B cm
^{2} - C cm
^{2} - D cm
^{2}

**Q5: **

Find the area of the shaded part of the diagram giving the answer to one decimal place.

**Q6: **

Determine, to the nearest tenth, the area of the shaded part in the given figure.

**Q7: **

An arc has a measure of radians and a radius of 5. Give the area of the sector, in terms of , in its simplest form.

- A
- B
- C
- D
- E

**Q8: **

An arc has a measure of radians and a radius of 3. Work out the area of the sector, giving your answer in terms of and in its simplest form.

- A
- B
- C
- D
- E

**Q9: **

The area of a circular sector is 1 790 cm^{2} and
the central angle is 1.5 rad. Find the radius of
the circle giving the answer to the nearest centimeter.

- A597 cm
- B49 cm
- C24 cm
- D2 387cm

**Q10: **

The area of a circular sector is 1 943 cm^{2} and
the central angle is 2.5 rad. Find the radius of
the circle giving the answer to the nearest centimeter.

- A389 cm
- B39 cm
- C20 cm
- D1 554cm

**Q11: **

The radius of a circle is 10 cm and the perimeter of a sector is 25 cm. Find the area of the sector.

**Q12: **

The radius of a circle is 28 cm and the arc length of a sector is 37 cm. Find the area of the sector.

**Q13: **

The perimeter of a circular sector is 96 cm and the arc length is 36 cm. Find the area of the sector giving the answer to the nearest square centimeter.

- A
- B
- C
- D

**Q14: **

The radius of a circle is 12 cm and the angle of a sector is . Find the area of the sector giving the answer in terms of .

- A cm
^{2} - B cm
^{2} - C cm
^{2} - D cm
^{2}

**Q15: **

The area of a circle is 160 cm^{2} and a central
angle of a sector is . Find the area of the sector giving
the answer to two decimal places.

**Q16: **

The radius of a circle is 5 cm and the area of a sector
is 15 cm^{2}. Find the value of the central angle
giving the answer in radians to one decimal place.

- A1.7 rad
- B0.6 rad
- C1.2 rad
- D0.3 rad
- E2.4 rad

**Q17: **

The radius of a circle is 15 cm and the area of a sector
is 630 cm^{2}. Find the value of the central angle
giving the answer in radians to one decimal place.

- A2.8 rad
- B5.6 rad
- C1.4 rad
- D11.2 rad

**Q18: **

The area of a circular sector is 15 cm^{2} and the
perimeter is 16 cm. Find all possible values for the
central angle giving the answer to the nearest second.

- A or
- Bor
- C or
- D or

**Q19: **

The area of a circular sector is 10 cm^{2} and the
perimeter is 13 cm. Find all possible values for the
central angle giving the answer to the nearest second.

- A or
- Bor
- C or
- D or

**Q20: **

The area of a circular sector is of the circle it is in. Find the central angle giving the answer to the nearest second.

- A
- B
- C
- D

**Q21: **

The area of a circular sector is 612.5 cm^{2}
and the area of the circle that contains the
sector is cm^{2}.
Find the central angle giving the answer to the nearest degree.

**Q22: **

The area of a sector is cm^{2} where is the radius of the circle. Find
the central angle giving the answer to the nearest degree.

- A
- B
- C
- D