Question

The area of a circle circumscribing a square of side 14 cm is:
(Take π = $\frac{22}{7}$)

[1 mark]

• A. $308c{m}^2$
• B. $408c{m}^2$
• C. $154c{m}^2$
• D. $204c{m}^2$

Answer 1

The correct option is A $308c{m}^2$


From the figure,
Diameter of the circle = Diagonal of the square
Diagonal = √2a
Diameter = 14√2 cm
Area of circle = $\frac{\pi }{4}{d}^2=\frac{22}{7}\times \frac{1}{4}\times (14\sqrt{2}{)}^2=308c{m}^2$