4400 Higher June 2008 Paper 4 Q10
10 The diagram shows a circle with centre \(O\) and radius 5 cm.
Diagram NOT accurately drawn
\(ANB\) is a chord of the circle.
\(AB = 9.6\) cm.
Angle \(ONA = 90^\circ\).
(a) Write down the length of \(AN\). (1)
(b) Calculate the length of \(ON\). (3)
| Scheme | Marks |
|---|---|
| 4.8 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(5^2 - \text{“}4.8\text{”}^2\) or 1.96 | M1 |
| \(\sqrt{5^2 - \text{“}4.8\text{”}^2}\) | M1dep |
| 1.4 | A1 |
| (3) | |
| (4 marks) |
Notes
A1: cao