Find the area of the circle whose circumference is equal to the perimeter of a square of side 11 cm.

  1. 231 cm2
  2. 140 cm2
  3. 77 cm2
  4. 154 cm2

Answer (Detailed Solution Below)

Option 4 : 154 cm2
Free
CRPF Constable (Technical & Tradesmen) Full Mock Test
100 Qs. 100 Marks 120 Mins

Detailed Solution

Download Solution PDF

Given:

Side of the square = 11 cm

Formula:

Perimeter of the square = 4a

Circumference of the circle = 2πr

Area of the circle = πr2

Calculation:

According to the question,

Circumference of the circle = Perimeter of the square

⇒ 2πr = 4a

⇒ 2πr = 4 × 11

⇒ 2 × (22 / 7) × r = 44

⇒ r = 7 cm

Area of the circle =  πr2

⇒ (22 / 7) × 7 × 7 = 154 cm2

∴ Area of circle is 154 cm2.

Latest Airforce Group Y Updates

Last updated on Jun 30, 2025

-> The Indian Airforce Group Y Notification (02/2026) has been released.

-> The IAF Group Y application can be submitted online till 31st July 2025.

-> Candidates will be selected on the basis of their performance in these three-stage processes including an Online Written Test, a Physical Fitness Test & Adaptability Test, and a Medical Examination. 

More Mensuration Questions

Hot Links: teen patti all app teen patti list teen patti master downloadable content teen patti vip