The diagram shows a circle, centre O, radius 12 cm. The points A, B and C lie on the circumference of this circle such that angle AOB is 1.7 radians and angle AOC is 2.4 radians.

Mark scheme

Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.

1. [4] (i) B1,B1 B1 for sector area, allow unsimplified B1 for correct angle BOC, allow unsimplified
2. [4] (i) M1 correct attempt at area of triangle, allow unsimplified using their angle BOC (Their angle BOC must not be 1.7 or 2.4)
3. [4] (i) A1 = awrt 181
4. [5] (ii) M1 correct attempt at BC, may be seen in (i), allow if used in (ii). Allow use of their angle BOC.
5. [5] (ii) A1 BC = 21.296
6. [5] (ii) B1 for arc length, allow unsimplified
7. [5] (ii) M1 for a correct 'plan' (an arc + 2 radii and BC)
8. [5] (ii) A1 = 65.7