Question

Center at the origin; through (3,7),circle through endpoints (-1,1),(5,9)

Answer 1

To find the equation of a circle through three given points, we need to calculate the center and radius of the circle.

Step-by-step explanation:

To find the equation of a circle through three given points, we need to calculate the center and radius of the circle.

Let the center of the circle be (h, k) and the radius be r.

Using the distance formula, we can set up three equations:

d = √((x-h)^2 + (y-k)^2)

where (x, y) are the coordinates of the given points.

We can then solve these equations to find the values of h, k, and r.