question_answer

A square is inscribed in a circle. If the side of the square is 14 cm, what is the area (in sq. cm) of the circle?

A) \[49\pi \]

B) \[77\pi \]

C) \[121\pi \]

D) \[98\pi \]

Correct Answer: D

Solution :

  Diameter of circle \[=\sqrt{2}\times \]side of square \[=\sqrt{2}\times 14=14\sqrt{2}\,cm.\] Radius of circle \[=7\sqrt{2}\,cm.\] \[\therefore \]Area of circle \[=\pi {{r}^{2}}\] \[=\pi \times 7\sqrt{2}\times 7\sqrt{2}\] \[=98\pi \,\]sq.cm.