Question

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

Answer 1

Hello,

Answer B

(x-4)²+(y+3)²=2.5²=6.25

Answer 2

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

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

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

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

`(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`

Therefore, the correct option would be B)