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Which of the following is the equation of a circle with a radius of 2.5 and its center at (4,- 3)?

(x - 4)^2 + (y + 3)^2= 2.5

(x - 4)^2 + (y + 3)^2= 6.25

(x - 4)^2 + (y- 3)^2= 2.5

(x - 4)^2 + (y - 3)^2= 6.25

Respuesta :

caylus
Hello,

Answer B

(x-4)²+(y+3)²=2.5²=6.25


lyndalau86

Answer:

(x - 4)^2 + (y + 3)^2= 6.25

Step-by-step explanation:

To solve this problem, we need to remember the formula to find the equation of a circle of radius r and center in (h,k): [tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]

Now we need to substitute the values given in the problem.

We have r = 2.5, h = 4, r = -3

[tex](x-h)^{2} +(y-k)^{2} = r^{2}\\(x-4)^{2} +(y-(-3))^{2}=2.5^{2}  \\(x-4)^{2}+(y+3)^{2}  =6.25[/tex]

Therefore, the correct option would be B)

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