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The diameter of a circle has endpoints (13,10) and (5,16) Part A: Find the center of the circle Part B: Find the distance of the radius Part C: Write the equation of the circle.

Respuesta :

Answer:

See below ~

Step-by-step explanation:

Part A : Center

  • Midpoint of diameter points
  • M = (13 + 5 / 2, 10 + 16 / 2)
  • M = (9, 13)

Part B : Radius

  • Half of the distance between the points
  • 16 - 10 / 2
  • 6/2
  • radius = 3

Part C : Equation

  • (x - 9)² + (y - 13)² = 3²
  • x² - 18x + 81 + y² - 26y + 169 = 9
  • x² - 18x + y² - 26y + 241 = 0

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