anonymous
  • anonymous
The area of two sphere have the ratio 4:25. what is the ratio of the radii?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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amistre64
  • amistre64
how do you determine the area of a sphere?
anonymous
  • anonymous
Sorry, but I don't know how ..
pooja195
  • pooja195
\[\huge~\rm~A=\pi~r^2\]

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anonymous
  • anonymous
oh wait can i use the formula for sa surface area of the sphere?
pooja195
  • pooja195
@amistre64
anonymous
  • anonymous
4(4piR^2)=25(4piR^2) like this?
anonymous
  • anonymous
area of surface of sphere=4 pi r^2
anonymous
  • anonymous
\[\frac{ 4 \pi r^2 }{ 4 \pi R^2 }=\frac{ 4 }{ 25 }\] \[\frac{ r }{ R }=?\]
anonymous
  • anonymous
and then?
amistre64
  • amistre64
if r^2 = 4 and R^2 = 25 what are the values of r and R ?
amistre64
  • amistre64
as far as ratios go, there is a property: quadratics are the square of linears radius is a linear measure, area is a quadratic measure.
anonymous
  • anonymous
\[\frac{ r^2 }{ R^2 }=\frac{ 4 }{ 25 },\frac{ r }{ R }=\sqrt{\frac{ 4 }{ 25 }}=?\]
anonymous
  • anonymous
and the ratio is 2:5...
anonymous
  • anonymous
thanks guys :)
anonymous
  • anonymous
yw
anonymous
  • anonymous
I did not realize that I can cancel the 4 pi and squared both sides haha

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