question_answer

The area of a square inscribed in a circle of radius 8 cm is

A)  32 sq cm                     

B)  64 sq cm

C)  128 sq cm

D)  256 sq cm

Correct Answer: C

Solution :

Given that, Radius of a circle = 8 cm \[\therefore \]Diameter of a circle =16 cm \[\Rightarrow \]Length of a diameter of a square = Diameter of a circle (given) \[\Rightarrow \]   \[a\sqrt{2}=16\] \[\therefore \]      \[a=8\sqrt{2}\,\,\text{cm}\] \[\therefore \]Area of square ABCD \[={{a}^{2}}={{(8\sqrt{2})}^{2}}\] \[=64\times 2=128\] sq cm