if the circumference of a circle and the perimeter of a square are equal then find the relation between area of circle and area of square
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Answer:
2πr=4a where r is equal to a ok sirji
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let x be the perimeter and circumference of square and circle
then perimeter of square = x
4 side = x
side = x/4
and also circumference of the circle = x
2 r = x
2 * 22/7 * r = x
r = 7x/44
area of square (S) = side^2 = (x/4)^2 = x^2/16
area of the circle(c) = r^2 = 22/7 * (7x/44)^2 = 7x^2/88
so (S) , (c) =
x^2/16 , 7x^2/88 LCM of 16 and 88 = 176
S = x^2/16 * 11/11 = 11x^2/176
C = 7x^2/88 * 2/2 = 14x^2/176
so here 11x^2/176 < 14x^2/176
so , S < C
Area of the circle > Area of the square
hσpє thís much hєlps u❣️
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