Respuesta :

fieryanswererft

Answer:

x² + y² = 34

Formula:

  • (x - h)² + (y - k)² = r²                    where (h, k) is the center

Here find the radius using distance formula:                → origin : (0, 0)

  • √(x2-x1)²+(y2-y1)²
  • √(3-0)²+(5-0)²
  • √9+25
  • √34

Thus the equation of circle:

  • (x - 0)² + (y - 0)² = (√34)²
  • (x - 0)² + (y - 0)² = 34
  • x² + y² = 34
Ver imagen fieryanswererft
semsee45

Answer:

H.  [tex]x^2+y^2=34[/tex]

Step-by-step explanation:

Equation of a circle (in standard form)

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center and r is the radius of the circle)

Given center = (0, 0):

[tex]\implies (x-0)^2+(y-0)^2=r^2[/tex]

[tex]\implies x^2+y^2=r^2[/tex]

As the circle passes through point (3, 5):

[tex]\implies 3^2+5^2=r^2[/tex]

[tex]\implies r^2=34[/tex]

Final equation

[tex]x^2+y^2=34[/tex]

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