Higher November 2024 Paper 1 Q16
16. The diagram shows a triangle ABC.
AB = 14 cm, AC = 15 cm and \(B\hat{A}C = 37^\circ\).
Diagram not drawn to scale
The ratio of the area of the triangle to the area of a circle is \(7 : 16\pi\).
Given that \(\sin 37^\circ = 0{\cdot}6\), calculate the radius of the circle. [5]
| Scheme | Marks | Comments |
|---|---|---|
| \(0.5\times14\times15\times0.6\) | M1 | |
| 63 (cm2) | A1 | |
| \(63\div7\times16\ (\pi)\) | m1 | FT ‘their 63’ |
| \(144\ (\pi)\) | A1 | |
| 12 (cm) | A1 | FT provided M1m1 awarded. |
| (5) |