The ratio of the area and the perimetre of a circle is 212. If the area of the circle is same as the area of a rectangle with length 42 cm then find the breadth of the rectangle.
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Solution
Let the radius of he circle be r cm.
Then by the problem,
πr22πr=212
or, r=21......(1).
Also by the problem,
πr2=42×b [ Where we let the breadth of the rectangle be of b cm]