Higher June 2017 Paper 1 Q12
12 Here is a circle touching a square.
Not drawn accurately
The area of the square is 64 cm\(^2\)
Work out the area of the circle.
Give your answer in terms of \(\pi\). [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\sqrt{64}\) or 8 or \(64 = 8 \times 8\) | M1 | Implied by a diameter or side length of 8 stated or shown on the diagram, or radius of 4 stated or used or shown on the diagram |
| \(\pi \times (\text{their } 8 \div 2)^2\) or \(\pi \times 4^2\) or \(\pi 4^2\) or [50.24, 50.272] | M1dep | oe Allow [3.14, 3.142] for \(\pi\) |
| \(16\pi\) | A1 | Condone \(16 \times \pi\) or \(\pi \times 16\) or \(\pi 16\) |
Additional guidance
| \(64 - 16\pi\) | M1M1A0 |
| Beware of incorrect methods which lead to the correct answer eg \(\;r = 8,\ 2 \times \pi \times 8 = 16\pi\) \(\sqrt{64} = 8,\ 8^2 = 16,\ 16\pi\) | M0M0A0 M1M0A0 |