SSC
SSC CHSL TIER-I Solved Paper Held on 09.01.2017
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.