1MA0 Higher June 2016 Paper 1 Q12
12 The diagram shows a circle inside a square.
Diagram NOT accurately drawn
\(ABCD\) is a square of side 10 cm.
Each side of the square is a tangent to the circle.
Work out the total area of the shaded regions in terms of \(\pi\).
Give your answer in its simplest form. (3)
| Answer | Mark | Notes |
|---|---|---|
| \(100 - 25\pi\) | 3 | M1 for \(\pi \times 5 \times 5\) or \(25\pi\) M1 for \((10 \times 10 - \text{``}\pi \times 5 \times 5\text{''})\) A1 for \(100 - 25\pi\) oe NB: ignore the inclusion of any units. |