macedaagatha14
macedaagatha14 macedaagatha14
  • 21-10-2021
  • Mathematics
contestada

Find the equation of the circle in standard form given the center, point or radius. Show your solution.
Center (-3,5) & Point (-2,1)​

Respuesta :

anasweeney43 anasweeney43
  • 21-10-2021

Answer:

(x + 3)^2 + (y - 5)^2 = 17

Step-by-step explanation:

To find the radius: distance from point (-2,1) to the center from point (-3,5).

d = sqrt [(-2 - -3)^2 + (1 -5)^2]

d = sqrt [(-2 + 3)^2 + (1 -5)^2]

d = sqrt (1)^2 + (-4)^2 = sqrt 17

Radius = sqrt 17

Equation of the circle:

(x - h)^2 + (y - k)^2 = r^2

h = 3, k = 5, r = sqrt 17

(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2

(x + 3)^2 + (y - 5)^2 = 17

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