2018 · Q100
In the figure given below, ABCD is a square of side 4 cm. Quadrants of a circle of diameter 2 cm are removed from the four corners and a circle of diameter 2 cm is also removed. What is the area of the shaded region ?
Elementary MathematicsMensuration
- A5 7/9
- B7 7/9
- C9 5/7
- D9 5/6
Explanation
The square has area 16. Removed: four corner quadrants of radius 1 (total pi) plus the central circle of radius 1 (pi). Shaded area = 16 - 2 pi = 16 - 44/7 = 68/7 = 9 5/7. Hence option C.