question_answer

What is the area between a square of side 10 cm and two inverted semicircular cross-sections each of radius 5 cm inscribed in the square?

A) \[17.5c{{m}^{2}}\]                                   

B) \[18.5c{{m}^{2}}\]

C) \[20.5c{{m}^{2}}\]                                    

D) \[21.5c{{m}^{2}}\]

Correct Answer: D

Solution :

Area between square and semi-circle = area of square -2 x Area of one semi-circle =         \[{{(10)}^{2}}-\frac{2}{2}\times \frac{22}{7}{{(5)}^{2}}\] =         \[100-78.5=\mathbf{2}.\mathbf{15}\text{ }\mathbf{c}{{\mathbf{m}}^{\mathbf{2}}}\]