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Write the equation of a circle that has a center of (-4, 2) and has a radius of 7.​

Write the equation of a circle that has a center of (-4, 2) and has a radius of 7.​-example-1

1 Answer

4 votes

Answer:

  • (x + 4)² + (y - 2)² = 49

Explanation:

  • The center is (h, k) = (-4, 2) ⇒ h = -4, k = 2
  • The radius r = 7

The equation is:

  • (x - h)² + (y - k)² = r²
  • (x - (-4))² + (y - 2)² = 7² ⇒ (x + 4)² + (y - 2)² = 49
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