Shape and Space 7
4 marks · Normal(a)[2 marks]
A sector of a circle has a radius of 6 cm. The angle at the centre is 75°.
Calculate the length of the arc. Give your answer to 3 significant figures.
(b)[2 marks]
Work out the area of the sector. Give your answer to 3 significant figures.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
(a) 7.85 cm
(b) 23.6 cm^2
Show mark scheme and worked solution
Marking points
M1 (a) · 1 mark · Uses correct formula for arc length.
A1 (a) · 1 mark · Arc length = 7.85 cm (3 s.f.).
M2 (b) · 1 mark · Uses correct formula for sector area.
A2 (b) · 1 mark · Sector area = 23.6 cm² (3 s.f.).
Worked solution
a) Arc length = (75/360) × 2π × 6 = 7.85 cm
b) Sector area = (75/360) × π × 6² = 23.6 cm²