In the given figure, three sectors of a circle of radius x\[7cm\] .making angles of \[60{}^\circ ,\] \[80{}^\circ \] and \[40{}^\circ \] at the centre are shaded. The area of the shaded region (in \[c{{m}^{2}}\]) is \[\left[ \text{Using }\pi \text{=}\frac{22}{7} \right]\](C6SE 2012) |
A) 77
B) 154
C) 44
D) 22
Correct Answer: A
Solution :
[a] Area of shaded region = area of sector with angle \[(60{}^\circ +80{}^\circ +40{}^\circ )\] |
\[=\frac{180{}^\circ }{360{}^\circ }\times \frac{22}{7}\times 7\times 7=77c{{m}^{2}}\] |
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