anonymous
  • anonymous
Write a formula for the surface area of a sphere in terms of C, the circumference of a great circle on the sphere.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
4 pi r ^2 = C circumference = 2 pi r = (4 pi r^2) /(2r)=C/2r
anonymous
  • anonymous
see, that's what I thought, but the book came out with SA=C^2/pi
anonymous
  • anonymous
let's wait and see if someone has another ans :D

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anonymous
  • anonymous
ok!
anonymous
  • anonymous
C = 2 pi r -> C^2 = 4 pi^2 r^2 =>SA = 4 pi^2 r^2 / pi = 4 pi r^2
anonymous
  • anonymous
which is SA = C^2/ pi
anonymous
  • anonymous
how did you know to write C^2 = 4pi^2r^2?
anonymous
  • anonymous
C = 2 pi r ->c^2 = (2pi r)^2 = 4 pi^2 r^2
anonymous
  • anonymous
|dw:1333076674892:dw|
anonymous
  • anonymous
Yes, that's it!
anonymous
  • anonymous
ok, where are you getting the C^2?

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