Circle Equations and Definitions
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Questions and Answers

Which of the following is the correct equation for a circle with center (2, -3) and radius 5?

  • (x+2)^2 + (y-3)^2 = 25
  • (x-2)^2 + (y+3)^2 = 25
  • (x+2)^2 + (y-3)^2 = 5
  • (x-2)^2 + (y+3)^2 = 5 (correct)
  • What is the equation of a circle with center (-4, 7) and passes through the point (3, -2)?

  • (x-4)^2 + (y+7)^2 = 100
  • (x+4)^2 + (y-7)^2 = 100
  • (x-4)^2 + (y+7)^2 = 169 (correct)
  • (x+4)^2 + (y-7)^2 = 169
  • What is the equation of a circle with center (0, 0) and radius 10?

  • x^2 + y^2 = 100 (correct)
  • x^2 + y^2 = 1000
  • x^2 + y^2 = 10
  • x^2 + y^2 = 1
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