Higher November 2021 Unit 2 Q9
9. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
A circle with centre O is shown below.
The radius of the circle is 7·3 cm.
Diagram not drawn to scale
Calculate the perimeter of the shaded region.
You must show all your working. [3 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| (Arc length =) \(\dfrac{212}{360} \times 2 \times \pi \times 7{\cdot}3 =\) | M1 | |
| 26·99 to 27·0143 (cm) or \(\dfrac{3869\pi}{450}\) | A1 | Seen or implied. |
| (Perimeter = their arc length + 2 × 7·3) = 42 or 41·6 (cm) | B1 | Accept 41·59 to 41·6143 (cm). FT ‘their derived arc length’ + 14.6, provided M1 awarded. |
| Organisation and Communication. | OC1 | For OC1, candidates will be expected to:
|
| Accuracy of writing. | W1 | For W1, candidates will be expected to:
|
Alternative version
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{212}{360} \times 2 \times \pi \times 7{\cdot}3 + 2 \times 7{\cdot}3 =\) | M2 | |
| = 42 or 41·6 (cm) | A1 | Accept 41·59 to 41·6143 (cm). |
The scheme prints the symbol л in place of π in these lines.