2019 · Q52
A square is drawn such that its vertices are lying on a circle of radius 201 mm. What is the ratio of the area of the circle to that of the square?
Elementary MathematicsMensuration
- A11:7
- B7:11
- C20:19
- D19:20
Explanation
Square diagonal = circle diameter = 402, so square area = 402^2/2. Ratio circle:square = pi.x201^2/(402^2/2) = pi/2. With pi = 22/7, pi/2 = 11/7, i.e. 11:7.