"In the figure, ABC and DEF are quadrants of radius 7 cm. The shaded portion is a square of side 3 cm. What is the total area of the quadrants ABC and DEF?
A) \[154\,c{{m}^{2}}\]
B) \[38.5\,c{{m}^{2}}\]
C) \[77\,c{{m}^{2}}\]
D) \[34\,c{{m}^{2}}\]
Correct Answer: C
Solution :
Area of quadrant \[ABC=\frac{\pi {{r}^{2}}}{4}\] \[=\frac{22}{7}\times \frac{7\times 7}{4}=\frac{77}{2}\] Similarly, area of quadrant \[DEF=\frac{77}{2}\] Total area \[=\frac{77}{2}+\frac{77}{2}=\frac{154}{2}=77\,c{{m}^{2}}\]
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