Higher January 2021 Paper 2R Q11
11 A circle centre \(O\) has radius 9 cm.
Diagram NOT accurately drawn
Calculate the perimeter of the shaded sector of the circle.
Give your answer correct to 3 significant figures.
(4)
| Scheme | Marks |
|---|---|
360 – 40 (= 320) or \(\dfrac{320}{360}\) oe or \(\dfrac{40}{360} \times 2\pi \times 9\;(= 6.28\ldots)\) | M1 |
\(\dfrac{\text{“}320\text{”}}{360} \times 2\pi \times 9\;(= 16\pi = 50.26\ldots)\) or \(2\pi \times 9 - \text{“}6.28\text{”}\;(= 50.26)\) | M1 |
| “50.26” + 2 × 9 | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 68.3 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: complete method to find perimeter
A1: 68.2 to 68.3