The area of a circle is halved when its radius is decreased by 'n'. Find its radius
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Assume that the circle has a radius r. Then, area of a circle = πr^2.
When the radius is reduced by n, then the new radius is r-n.
When the radius is r-n, then the area is the new area is π(r-n)^2
According to the given statement, when the radius is r-n, then the new area is half of the original value.
Thus, π(r-n)^2 = πr^2/2
Solving this equation, r = n(2 + √2).
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