The diameter of a circle is numerically equal to the area of a square whose perimeter is 28 cm. What is the circumference of the circle?

A 7 cm

B 28 cm

C 154 cm

D 49 cm

E None of these

Correct Answer: Option C

Let the side of the square be a cm

∴ Perimeter of square = 4 × a

⇒ 4 × a = 28

⇒ a = 7 cm

∴ Area of square = a²

⇒ Area of square = 7² = 49 cm²

Now, diameter of circle = area of square

∴ Diameter of circle = 49 cm

Now, circumference of circle = π × (diameter)

∴ Circumference = π × 49

⇒ Circumference = 154 cm