BablaKanchan
BablaKanchan BablaKanchan
  • 12-05-2022
  • Mathematics
contestada

11. Find the equation for the circle with center ​(−2​,4​) and passing through ​(5​,−3​).

11 Find the equation for the circle with center 24 and passing through 53 class=

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darkyfoxey152005
darkyfoxey152005 darkyfoxey152005
  • 12-05-2022
(-2,4) I’m not that good at math pls tell me if I’m wrong
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fieryanswererft
fieryanswererft fieryanswererft
  • 12-05-2022

Answer:

In standard form: (x+2)² + (y-4)² = 98

Use the distance formula to find radius:

[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

where (x1, y1), (x2, y1) are points

[tex]\rightarrow \sf d = \sqrt{(-2 - 5)^2 + (4-(-3))^2}[/tex]

[tex]\rightarrow \sf d = \sqrt{(-7)^2 + (7)^2}[/tex]

[tex]\rightarrow \sf d = 7\sqrt{2}[/tex]

Equation of circle:

  • (x-h)² + (y-k)² = r²
  • (x-(-2))² + (y-4)² = (7√2)²
  • (x+2)² + (y-4)² = (7√2)²
  • (x+2)² + (y-4)² =  98
Ver imagen fieryanswererft
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