The area of shaded portion is
A) \[84\,c{{m}^{2}}\]
B) \[85\,c{{m}^{2}}\]
C) \[45\,c{{m}^{2}}\]
D) \[88\,c{{m}^{2}}\]
Correct Answer: A
Solution :
Area of 2 semi circles = Area of one circle \[=\pi {{r}^{2}}\]where \[r=\frac{7}{2}\] \[=\frac{22}{7}{{\left[ \frac{7}{2} \right]}^{2}}=\frac{22}{7}\times \frac{49}{4}=\frac{77}{2}c{{m}^{2}}\] Area of triangle\[=\frac{1}{2}\times 13\times 7=\frac{91}{2}c{{m}^{2}}\] Area of shaded portion\[=\frac{77}{2}+\frac{91}{2}\] \[=\frac{168}{2}=84\,c{{m}^{2}}\]
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