Math, asked by piyushbariya444, 2 months ago

The ratio of the areas of two circles is 1 : 9 then ratio of their circumferences is​

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Answered by rushour10000
2

Answer:

let \: radius\: of \: first \: circle =x \\ let \: radius \: of \: second \: circle \:  = y \\ then \: area \: of \: first \: circle \:  = \pi {x}^{2}   \\ and \: area \: of \: second \: circle \:  = \pi {y}^{2}  \\ it \: is \: given \: that \:  \frac{\pi {x}^{2} }{\pi {y}^{2} }  =  \frac{1}{9}  \\ soving \: it \:  \:  \:  \:  \:  \frac{\pi {x}^{2} }{\pi {y}^{2} }  =  \frac{1}{9}  \\  \frac{ {x}^{2} }{ {y}^{2} }  =  \frac{ {1}^{2} }{ {3}^{2} }  \\ \\ so \: now \: ratio \: of \: their \: circumference \: will \: be \:  =  \frac{2\pi \times x}{2\pi \times y}  \\  =  \frac{x}{y}  \\ which \: is \: equal \: to \:  \frac{1}{3}

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