Question

The area of a circle is halved when its radius is decreased by y. find radius​

Answer 1

Answer:

pls refer to answer below

Step-by-step explanation:

Assume that the circle has a radius r. Then, area of a circle = πr^2.  

When the radius is reduced by y, then the new radius is r-y.

When the radius is r-y, then the area is the new area is π(r-y)^2

According to the given statement, when the radius is r-y, then the new area is half of the original value.

Thus, π(r-y)^2 = πr^2/2

Solving this equation, r = y(2 + √2).

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