Math, asked by TigerDurgaprasad, 1 year ago

if the ratio of areas of two circles is 4:9, then the ratio of their circumference will be

Answers

Answered by Akshatloveschemistry
0
2:3 is the correct answer 
Answered by Anonymous
2

Radius of first circle = R1

Radius of second circle = R2

\frac{area \: of \:first \: circle }{area \: of \: second \: circle}  =  \frac{4}{9}  \\  \frac{\pi \:R {1}^{2} }{\pi \:R2² }  =  \frac{4}{9}  \\  \frac{R1²}{R2²}  =  \frac{2²}{3²}  \\  \frac{R1}{R2}  =  \frac{2}{3}

 \frac{circumference \:  of \:  first \:  circle }{circumference \:  of \:  second \:  circle } =  \frac{2\pi \: R1}{2\pi \: R2}  \\ \\  \frac{circumference \:  of \:  first \:  circle }{circumference \:  of \:  second \:  circle } =  \frac{r1}{r2}  \\  \\ \frac{circumference \:  of \:  first \:  circle }{circumference \:  of \:  second \:  circle } =  \frac{2}{3}

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