| Direction for question: Read the passage below and solve the questions based on it. A 20 m long piece of wire is cut into two pieces, one of which is bent into a circle and the other into the square enclosing it. |
A) \[1.63\,\,{{m}^{2}}\]
B) \[1.68\,\,{{m}^{2}}\]
C) \[1.75\,\,{{m}^{2}}\]
D) \[2.5\,\,{{m}^{2}}\]
Correct Answer: B
Solution :
\[4x+\pi a=20\] \[a=\frac{20}{4+\pi }\Rightarrow a=\frac{20}{4+\frac{22}{7}}\Rightarrow a=\frac{140}{50}=2.8\] Required Area\[={{(2.8)}^{2}}-\pi {{(1.4)}^{2}}\] \[=7.84-\frac{22}{7}\times \frac{1.4}{10}\times \frac{1.4}{10}\] \[=7.84-\frac{616}{100}=7.84-6.16=1.68\,\,{{m}^{2}}\]
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