question_answer

The figure given is made up of a square with a circle inscribed in it. What is the area of the shaded region? (Take\[\pi =\text{3}.\text{14}\].)

A)  \[\text{6}.\text{28 c}{{\text{m}}^{\text{2}}}\]                  

B)  \[\text{1}.\text{42 c}{{\text{m}}^{\text{2}}}\]

C)  \[\text{4}.\text{91 c}{{\text{m}}^{\text{2}}}\]      

D)         \[\text{7}.\text{36 c}{{\text{m}}^{\text{2}}}\]

Correct Answer: A

Solution :

  Area of \[{{x}^{3}}\]\['x'\] Unshaded area \[\text{(25}\times \text{7)cm}\] \[~(\text{2}\times \text{52}\times \text{73) cm}\] Shaded area\[=4\,cm\times 4\,cm-9.72\,c{{m}^{2}}\] \[=\text{ 6}.\text{28 c}{{\text{m}}^{\text{2}}}\]