If the circumference of a circle and the perimeter of a square are equal, then

(A) Area of the circle = Area of the square

(B) Area of the circle > Area of the square

(C) Area of the circle < Area of the square

(D) Nothing definite can be said about the relation between the areas of the circle and square.

Slide7.JPG

Advertisement

Slide8.JPG

Advertisement

Slide9.JPG

  1. Chapter 12 Class 10 Areas related to Circles (Term 1)
  2. Serial order wise

Transcript

Question 5 If the circumference of a circle and the perimeter of a square are equal, then (A) Area of the circle = Area of the square (B) Area of the circle > Area of the square (C) Area of the circle < Area of the square (D) Nothing definite can be said about the relation between the areas of the circle and square. Let Radius of circle = r Side of square = a Now, given that Circumference of Circle = Perimeter of Square 2๐œ‹r = 4a ๐œ‹r = 2a 2a = ๐œ‹r a = ๐…/๐Ÿ ๐’“ Now, we need to find relation between Area of square and circle Area of circle = ๐œ‹๐‘Ÿ^2 Circle Area of circle = ๐…๐’“^๐Ÿ Square Area of square = a2 = (๐œ‹/2 ๐‘Ÿ)^2 = ๐…^๐Ÿ/๐Ÿ’ ๐’“^๐Ÿ Since ๐…๐’“^๐Ÿ > ๐œ‹^2/4 ๐‘Ÿ^2 Therefore, Area of the circle > Area of the square So, the correct answer is (B)

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.