anonymous
  • anonymous
Write the standard form of the equation of each circle described. a.) center at (0,0), radius 3 Square root 3
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
The equation (for circles at the center) in general is: x^2 + y^2 = r^2 All you have to do is substitute in for the "r".
anonymous
  • anonymous
3 square root of 3 squared. What would that equal?

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anonymous
  • anonymous
(3^2)(sqrt(3))^2
anonymous
  • anonymous
The standard form is x^2 + y^2 = r^2 3sqrt3 is equal to 27. Square the 3, which is 9. Then the sqrt of 3 which is just 3.
anonymous
  • anonymous
So, (9)(sqrt(3))^2
anonymous
  • anonymous
Since the center is at 0,0 you don't need to change the x2 or y2
anonymous
  • anonymous
And (sqrt(3))^2 = 3
anonymous
  • anonymous
so, (3)^2 x (sqrt(3))^2 = 9 x 3 = 27
anonymous
  • anonymous
ok, that makes perfect sense. Thank you so much!!!!
anonymous
  • anonymous
So, you have: x^2 + y^2 = (3 x sqrt(3))^2 x^2 + y^2 = 27
anonymous
  • anonymous
Good luck in all of your studies and thx for the recognition! @haleyking345

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