Date | May 2011 | Marks available | 5 | Reference code | 11M.2.hl.TZ2.1 |
Level | HL only | Paper | 2 | Time zone | TZ2 |
Command term | Find | Question number | 1 | Adapted from | N/A |
Question
The points P and Q lie on a circle, with centre O and radius 8 cm, such that PˆOQ=59∘ .
Find the area of the shaded segment of the circle contained between the arc PQ and the chord [PQ].
Markscheme
area of triangle POQ=1282sin59∘ M1
= 27.43 (A1)
area of sector =π8259360 M1
= 32.95 (A1)
area between arc and chord =32.95−27.43
=5.52 (cm2) A1
[5 marks]
Examiners report
This was an easy starter question, with most candidates gaining full marks. Others lost marks through premature rounding or the incorrect use of radian measure.