A-LevelMathematicsCircular measure9709/12 · Oct/Nov 2010 · Q45 Marks
The diagram shows points A, C, B, P on the circumference of a circle with centre O and radius 3 cm. Angle AOC = angle BOC = 2.3 radians. [Figure 4.1]
- (i)Find angle AOB in radians, correct to 4 significant figures.[1]
- (ii)Find the area of the shaded region ACBP, correct to 3 significant figures.[4]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2010). The mark or mark type is shown in brackets.
- [B1] 1.683(18...)
- [M1] (2) × 1/2 × 3²sin2.3 Condone omission of factor 2
- [M1] 1/2 x 3² x their 1.683 NB M0 if using angle of 2.3
- [M1] Triangle AOC + COB + sector Two correct triangles + sector
- [A1] 14.3 co
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