Question

What’s the equation of the circle with the center of five, -4 that passes through -3, two

Answer 1

Answer:

(x-5)^2 + (y+4)^2 = 100

Step-by-step explanation:

First you need to know the equation of a circle which is,

(x – h)^2 + (y – k)^2 = r^2

(h,k) is the center point and r is the radius.

To find the radius use the distance formula which is

d=$\sqrt(x2-x1)^2 + (y2-y1)^2$ when you substitute you will get

$\sqrt(5+3)^2 + (-4-2)^2$ which simplifies to 10. That is the radius.

Then you will substitute that and the center point back into the equation to get the answer.