A square and 2 semicircles were cutout from a square cardboard as shown in the figure. (use \[\pi =3.14\]) The area of cardboard cutout is
A) \[324\,c{{m}^{2}}\]
B) \[400\,c{{m}^{2}}\]
C) \[714\,c{{m}^{2}}\]
D) \[314\,c{{m}^{2}}\]
Correct Answer: C
Solution :
Required area = Area of unshaded part = Area of small square + Area of 2 semi -circles \[=(20\times 20)+(2)\,\left( 3.14\,\times \frac{100}{2} \right)\] \[400+314\,=714\,c{{m}^{2}}\]
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