The areas of two circular fields are in the ratio of 25 : 64 respectively. If the radius of the latter is 16 metre then what is the radius of the former ? (in metre) ?->(Show Answer!)

1. The areas of two circular fields are in the ratio of 25 : 64 respectively. If the radius of the latter is 16 metre then what is the radius of the former ? (in metre)

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By: anil on 05 May 2019 01.21 am

Let radius of former circular field = $$r$$ Acc. to ques, => $$frac{pi r^2}{pi 16^2} = frac{25}{64}$$ => $$r^2 = frac{25}{64} imes 16 imes 16$$ => $$r^2 = 25 imes 4 = 100$$ => $$r = sqrt{100} = 10$$

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