question_answer

The area of the largest circle that can be drawn inside a rectangle with sides 8 m by 7 m, is

A) \[50\frac{2}{7}\,{{m}^{2}}\]

B) \[38\frac{1}{8}\,{{m}^{2}}\]

C) \[32\,{{m}^{2}}\]

D) \[24\frac{1}{2}\,{{m}^{2}}\]

Correct Answer: B

Solution :

[b] Radius of the circle\[=\frac{7}{2}\,m\] Area of the circle \[\left( \frac{22}{7}\times \frac{7}{2}\times \frac{7}{2} \right)=\frac{77}{2}=38\frac{1}{2}\,{{m}^{2}}\]