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Question

If the area of a circle is numerically equal to twice its circumference, then what is the diameter of the circle ?

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Solution

Let the radius of the circle = r units
area of the circle = 2 × circumference

πr2 = 2(2 π r)
r2r = 4ππ
r=4
diameter = 2r
d=2×4
d=8units


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