A circle is inscribed in a square. If the sum of the perimeter of the square and the circumference of the circle is 100cm, calculate the radius of the circle.
[Take T=22/7]
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Answer:
7 cm
Explanation:
Let the side of square be x.
Perimeter of square = 4x
Diameter of circle = x
Radius of circle = x/2
Circumference of circle = 2 * 22/7 * x/2 = 22/7x
According to Question,
4x + 22/7x = 100
(28+22) / 7x = 100
50x = 700
x = 14
Hence, diameter of circle = 14 cm
Radius of circle = (14/2) cm = 7 cm
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