4400 Higher June 2010 Paper 4 Q17
17 The diagram shows a sector of a circle, radius 45 cm, with angle 84°.
Diagram NOT accurately drawn
Calculate the area of the sector.
Give your answer correct to 3 significant figures.
(3)
| Scheme | Marks |
|---|---|
| \(\frac{84}{360}\) or \(\frac{7}{30}\) or 0.23.. | M1 |
| \(\frac{84}{360} \times \pi \times 45^2\) | M1 |
| 1480 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: 360 ÷ 84 or 4.2857... or 4.29 or 30/7
M1: \(\pi \times 45^2 \div \text{“}4.29\text{”}\)
A1: awrt 1480 (3 sf) sc 1485 or 1490 from \(\pi = 22/7\) seen M2A1