Exam Style Question
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Question id: 238. This question is similar to one that appeared in a IGCSE Extended paper in 2011. The use of a calculator is allowed.
A circle is drawn inside a square so that it touches all four sides of the square.
(a) If the sides of the square are each \(k\) mm in length and the area of the red shaded region is \(A\) mm2 show that:$$4A=4k^2-\pi k^2$$
(b) Make \(k\) the subject of the formula \(4A=4k^2-\pi k^2\)
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