Question

Find the equation of the circle. With center at (-3, 1) and point on the circle= (5, -3).

Answer 1

(x + 3)² + (y - 1)² = 80

Explanation:

Circle equation: (x - h)² + (y - k)² = r²

We are given h and k, so we just plug that in:

(x + 3)² + (y - 1)² = r²

To find r, we need to use distance formula:
`d = √((x2-x1)^2+(y2-y1)^2)` between the center of the circle and the point on the circle. We should get √80 as r. We plug that in to get our answer:

(x + 3)² + (y - 1)² = 80