anonymous
  • anonymous
The ratio of the areas of two circles is 9 to 16. If the circumference of the larger circle is 20 cm, what is teh circumference of the smaller circle?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
Are you familiar with cross multiplying? I belive you go 9/16 times (x/20cm) From there, working it out it becomes (20x9)/16 and that gave me 45/4cm or 11.25
anonymous
  • anonymous
so answer is 11.25 cm?
anonymous
  • anonymous
yeah thats what I got, still though do you know how to cross multiply?

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anonymous
  • anonymous
yes i noe, y?
anonymous
  • anonymous
makes life much easier, just making sure because thats usuallly all you do when you have a ratio problem like this
anonymous
  • anonymous
ok, but i just realized that the ratio given about the two circles is their area, not circumference!
anonymous
  • anonymous
area=pi*r*r circumference is pi*2*r ratio of area of circle 1 to circle 2 is 9:16. 9/16=area1/area2=pi*r1*r1/pi*r2*r2=r1*r1/r2*r2=3*3/4*4 so, ratio of r is 3:4
anonymous
  • anonymous
is teh answer 11.25 still correct then?
anonymous
  • anonymous
lyam, sdo wat's the final answer?
anonymous
  • anonymous
nope 3/4=X/20 4X=60 X=60/4=15 I think
anonymous
  • anonymous
sorry i type slow

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