Lesson eLearning

If perimeter of a circle is equal to that of a square, find ratio of their areas.

medium MCQ Class 4 · Mathematics · The Way The World Looks
  1. 14 : 11
  2. 11 : 14
  3. 22 : 7
  4. 7 : 22
Answer
14 : 11

The correct answer is 14 : 11 — Area ratio = πr² / a² = πr² / (π²r²/4) = 4/π = 4/(22/7) = 28/22 = 14/11.

Step-by-step solution

  1. 2πr = 4a ⇒ a = πr/2.
  2. Area ratio = πr² / a² = πr² / (π²r²/4) = 4/π = 4/(22/7) = 28/22 = 14/11.

Concept tested: Areas Related to Circles

Published · How this solution was prepared and checked

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