• Math

  CIRCLES

  Posted by Pritha Das on June 23, 2023 at 11:41 pm

  If the perimeter and the area of a circle are numerically equal, then What is the radius of the circle ?

  Anagha Babu replied 1 year, 10 months ago 2 Members · 1 Reply
• 1 Reply

• 

  Anagha Babu

  Member

  June 24, 2023 at 11:42 am

  Given that the area of the circle= the perimeter of the circle.

  Let ‘r’ be the radius of the circle

  Area of the circle=πr^2

  Perimeter of the circle=2πr

  On equating both the equation we get

  πr^2=2πr

  πr^2 – 2πr =0

  πr(r-2)=0

  π is never equals to 0 , therefore either r=0 or r-2=0

  r cannot be equal to 0 because if r=0 a circle cannot be formed .

  Therefore, r-2=0

  That is , r=2

  Hence we can conclude that, if area and perimeter of a circle are equal then it’s radius will be 2units.

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