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Activity Discussion Math CIRCLES Reply To: CIRCLES

  • Anagha

    Member
    June 24, 2023 at 11:42 am
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    ::

    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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