Higher November 2023 Paper 1 Q2
2. The shape below consists of a square surrounded by four semi-circles.
The diameter of each semi-circle is 12 cm.
Diagram not drawn to scale
Work out the area of the shape.
Give your answer in the form \(a + b\pi\). [4]
| Scheme | Marks | Comments |
|---|---|---|
| (Area of shape =) \(2\times\pi\times6^2\) OR \(4\times\dfrac{\pi\times6^2}{2}\) | M2 | M1 for \(\pi\times6^2\) or \(\dfrac{\pi\times6^2}{2}\) |
| \(+\ 12^2\) | m1 | FT from M2 or M1 |
| \(= 144 + 72\pi\) (cm2) | A1 | CAO |
| (4) |