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Activity Discussion Math CIRCLES


    Posted by Pritha 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 replied 1 year ago 2 Members · 1 Reply
  • 1 Reply
  • Anagha

    June 24, 2023 at 11:42 am
    Not Helpful

    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 =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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