find the radius of the circle if the circumference of the circle is equal to the perimeter of the square which is equal to 154 cm
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answer is 24.5 cm
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Perimeter of rectangle = Perimeter of square
Circumference of circle = 154 cm
If radius = r , ∴ C = 2πr
Since radius = Side of square,
⇒ 2πs = 154cm
⇒ s = 154/2π = 24.5cm
(taking π = 22/7)
Perimeter = 4 × 24.5 cm = 98 cm
(perimeter of sq. = 4a )
Let breadth be = b
So, 2(l+b) = 98
⇒ l+b = 49cm ⇒ b = 49-10 = 39cm
∵ Area of rectangle = lb
⇒ Area = 10cm * 39cm = 390 cm
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