1MA0 Higher November 2016 Paper 2 Q11
11 The diagram shows a square \(ABCD\) inside a circle.
Diagram NOT accurately drawn
The points \(A\), \(B\), \(C\) and \(D\) lie on the circle.
The radius of the circle is 6 cm.
Work out the total area of the shaded regions.
Give your answer correct to 3 significant figures. (4)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(\pi \times 6^2 - 2 \times 6 \times 6\) | 41.1 | 4 | M1 for correct method to work out the area of the circle or quarter circle or semi-circle eg \(\pi \times 6^2\) (=113(.09..)); \(\pi \times 6^2 \div 2\) = 56.5(4..); \(\pi \times 6^2 \div 4\) = 28.2(7…)) M1 for method to work out the area of the square (=72) oe or a triangle eg \(\tfrac{1}{2} \times 6 \times 6\) (=18) M1 for complete method to find shaded area. A1 for value in the range 41.04 - 41.112 |