Elizabethsp0422 Elizabethsp0422
  • 02-04-2020
  • Mathematics
contestada

The areas of two circles are in the ratio of 25:16. What is the ratio of their radio?

Respuesta :

bayosanuade
bayosanuade bayosanuade
  • 02-04-2020

Answer: 5:4

Step-by-step explanation:

If two shapes are similar , then

[tex]\frac{A_{1} }{A_{2}}= (\frac{r_{1}}{r_{2}}) ^{2}[/tex]

substituting the given ratio into the formula , we have :

[tex]\frac{25}{16}=(\frac{r_{1}}{r_{2}})^{2}[/tex]

take the square root of both sides

therefore:

[tex]\frac{r_{1}}{r_{2}}= \frac{5}{4}[/tex]

Therefore : the ratio of their radius = 5:4

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