Question

Write the equation of each circle.center at (1,2) , diameter 14

Answer 1

`(x-1)^2+(y-2)^2=49\\`

Explanation:

The equation for a circle is:

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

with (h,k) being the center.

The center is (1,2), so let's substitute:

`(x-1)^2+(y-2)^2=r^2`

We know the diameter is 14, so the radius is half of that, 7.

`(x-1)^2+(y-2)^2=7^2\\(x-1)^2+(y-2)^2=49\\`

Hope this helps! :)