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a circular garden is enlarged so that the new diameter is twice the old diameter. what is the ratio of the original area to the enlarged area? express your answer as a common fraction.

User Derwiwie
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4 votes

Answer:

The ratio of original area to enlarged area is 1/4.

Explanation:

Area of original circular garden is


\pi {( (d)/(2) )}^(2) = \pi \frac{ {d}^(2) }{4}

Area of enlarged circular garden is


\pi ( { (2d)/(2)) }^(2) = \pi {d}^(2)

So the ratio of original area to enlarged area is 1/4.

User Littlemad
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