4400 Higher November 2009 Paper 3 Q7
7
(a) Calculate the circumference of a circle of radius 30 cm.
Give your answer correct to 3 significant figures. (2)
Give your answer correct to 3 significant figures. (2)
(b) The diagram shows a circle with radius 2.1 cm inside a square.
The circle touches the sides of the square.
Give your answer correct to 3 significant figures. (4)
The circle touches the sides of the square.
Diagram NOT accurately drawn
Work out the shaded area.Give your answer correct to 3 significant figures. (4)
| Scheme | Marks |
|---|---|
| \(2 \times \pi \times 30\) | M1 |
| 188 | A1 |
| (2) |
Notes
A1: 188(.495...) awrt 188 or 189
| Scheme | Marks |
|---|---|
| \(4.2^2\) (= 17.6(4)) | M1 |
| \(\pi \times 2.1^2\) (= 13.8......) | M1 |
| “\(4.2^2\)” − “\(\pi \times 2.1^2\)” | M1 |
| 3.79 | A1 |
| (4) | |
| (6 marks) |
Notes
M1: dep on both previous M1 marks
A1: Accept awrt 3.78 or 3.79