O-LevelMathematicsMensuration4024/22 · Oct/Nov 2018 · Q58 Marks
[Figure 5.1] AC and BD are diameters of the circle, centre O. AC = 12 cm and ∠AOB = 130°.
- (a)Calculate the area of triangle AOB.[2]
- (b)Calculate the area of the sector AOD.[2]
- (c)Calculate the percentage of the area of the circle that is shaded.[4]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- [2] M1 for 1/2 × 6 × 6 × sin 130 oe
- [2] After 0, SC1 for answer 55.2 or 55.15 to 55.16
- [2] M1 for 180-130 / 360 × π × 6² oe
- [2] After 0, SC1 for answer 62.8 or 62.83 to 62.84
- [4] M2 for 2 × their 13.8 + 2 × (their 15.71 – 1/2 × 6² × sin(180 – 130)) or M1 for their 15.71 – 1/2 × 6² × sin(180 – 130)
- [4] AND M1 for their 31.42 / (π × 6²) [×100]
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