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Question
Find the following ratio.
The ratio of circumference of circle with radius r to its area.
Solution
Radius of the circle = r units
∴ Circumference of the circle = 2πr units
Area of the circle = πr2 square units
Circumference of the circle : Area of the circle =
`2πr : πr^2 = (2πr)/(πr^2) = 2/r = 2 : r`
Thus, the ratio of circumference of circle with radius r to its area is 2 : r.
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