# Given A = (-1,0) and B = (11,4), how do you show that the equation of the circle with AB as diameter may be written as #(x-5)^2 + (y-2)^2 = 40#?

##### 1 Answer

Dec 23, 2016

see explanation.

#### Explanation:

Recall that the center-radius form of the circle equation is in the format:

with the center being at the point

Given

Let distance between

Given

The circle is centered at midpoint of AB :

So the equation of the circle can be written as :