I am new to this answers forum, and there seem to be limited tools for which I can use to write, but I'll try my best.

First you need the Standard Form of the **Equation of a Circle**:

**(x-h)**^{2 }+ (y-k)^{2} = r^{2}

First you want to find the distance between the two endpoints, which will give you your **Diameter**, using the **Distance Formula**. Then divide that answer by two to get your **Radius** which you will plug directly into your **Equation of a Circle**.

The (h,k) is the **Center Point** of your circle. You can find this with with **Midpoint Formula** using the two endpoints given in the problem.

I solved this problem using the steps above and I got the answer:

(x-13.5)^{2}+(y-15.5)^{2} = (14.3)^{2}

Normally you would leave the h and k as fractions, but I was having trouble figuring out how to format it properly.

Also if there is anything I missed, you disagree with, or something I did not explain fully, please tell me.