4MA0 Higher January 2016 Paper 3R Q5
5 The diagram shows a circle with centre \(O\) and radius 6.5 cm
Diagram NOT accurately drawn
(a) Work out the area of the circle.
Give your answer correct to 3 significant figures. (2)
Give your answer correct to 3 significant figures. (2)
\(PQ\) is the tangent to the circle at \(P\)
\(OQ = 10.5\) cm
(b) Work out the length of \(PQ\)
Give your answer correct to 3 significant figures. (3)
Give your answer correct to 3 significant figures. (3)
| Scheme | Marks |
|---|---|
| \(\pi \times 6.5^2\) | M1 |
| 133 | A1 |
| (2) |
Notes
A1: awrt 133
| Scheme | Marks |
|---|---|
| \(10.5^2 - 6.5^2\) or \(110.25 - 42.25\) or 68 | M1 |
| \(\sqrt{10.5^2 - 6.5^2}\) or \(\sqrt{110.25 - 42.25}\) or \(\sqrt{68}\) oe | M1 |
| 8.25 | A1 |
| (3) |
Notes
A1: awrt 8.25