| The figure given is made up of a rectangle, identical semicircle(s) and quadrant (s). |
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A) \[1350\text{ }c{{m}^{2}}\]
B) \[1154\text{ }c{{m}^{2}}\]
C) \[1400\text{ }c{{m}^{2}}\]
D) \[{{21}^{2}}\times \left( 6-\pi \right)\text{ }c{{m}^{2}}\]
Correct Answer: D
Solution :
(d): Area = \[\left( 42\times 21-\frac{\pi \times {{42}^{2}}}{8} \right)+\]\[\left( {{42}^{2}}-\frac{\pi }{4}\times {{42}^{2}} \right)+\frac{\pi \times {{21}^{2}}}{2}\] \[={{21}^{2}}\left[ \left( 2-\frac{\pi }{2} \right)+(4-\pi )+\frac{\pi }{2} \right]\]
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