1MA0 Higher November 2012 Paper 1 Q12

12 The diagram shows a circle drawn inside a square.

Diagram NOT accurately drawn

The circle has a radius of 6 cm.
The square has a side of length 12 cm.

Work out the shaded area.
Give your answer in terms of \(\pi\). (3)

Mark scheme

Answer	Mark	Notes
\(36 - 9\pi\)	3	M1 for \(\pi \times 6 \times 6\) or \(36\pi\) seen value 113.03-113.2 M1 for (12×12 – ‘\(\pi \times 6 \times 6\)’)÷4 or value 7.7-7.8 A1 for \(36 - 9\pi\) oe OR M1 for \(\pi \times 6 \times 6 \div 4\) or \(9\pi\) seen or value 28.2-28.3 M1 for 6×6 – ‘\(\pi \times 6 \times 6 \div 4\)’ or value 7.7-7.8 A1 for \(36 - 9\pi\) oe NB: for M marks \(\pi\) may be given numerically.