# Given: circle O with diameter CD C(-5,4) D(3,-2) create a equation if the circle?

##### 1 Answer

Apr 18, 2018

#### Explanation:

Mid point CD is the center:

The midpoint of a segment with endpoints A = (x₁, y₁) and B = (x₂, y₂) has coordinates :

[(x₁ + x₂) /2 , (y₁ + y₂)/2]

so in this case the center is:

Half of Length of CD is the radius:

distance 'd' between the points A = (x₁, y₁) and B = (x₂, y₂) is:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

so in this case:

The equation of the circle: