| What is the area between a square of side 10 cm and two inverted semi-circular, cross-section each of radius 5 cm inscribed in the square? |
A) \[17.5\,\,c{{m}^{2}}\]
B) \[18.5\,\,c{{m}^{2}}\]
C) \[20.5\,\,c{{m}^{2}}\]
D) \[21.5\,\,c{{m}^{2}}\]
Correct Answer: D
Solution :
 |
| Area between square and semi-circles |
| = Area of square \[-\,\,2\](Area of semi-circle) |
| \[={{(10)}^{2}}-\frac{2}{2}\times \frac{22}{7}{{(5)}^{2}}\] |
| \[=100-78.5=21.5\,\,c{{m}^{2}}\] |
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