Mathematics · May / June 2020 · Paper 41 · Question 9
0580
As printed in the paper
The question as text
165° NOT TO SCALE O 8 cm A B The diagram shows a sector of a circle with centre O, radius 8 cm and sector angle 165°.
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9(a)[3]
39[.0] or 39.03 to 39.04… [3]
M2 for 165 × × π × 2 8 + 16 360 165 π
or M1 for × 2 × × 8 360
9(b)[4]
2.71 or 2.708… [4]
165 [ π ] 2 × × 8 360
M3 for oe [ π ] 4 × 165 [ π ] 2 × × 8 360
or M2 for r2 = oe [ π ] 4 × 165 × π × 2
or M1 for 8 oe seen 360
9(c)(i)[2]
3.67 or 3.666 to 3.667 [2]
M1 for 165 ×2[×π]×8 = 2[×π]× r or better 360 165[×π]×8 = [π×] ×8 2 or for r or better 360
9(c)(ii)[4]
100 or 100.0 to 100.1… final answer [4]
M3 for 1 2 2 2 π × their c i ( )( ) × 8 – their r d a ius 3
or M2 for 8 2 – their r d a ius 2
or M1 for (their (c)(i))2 + h2 = 82
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