# How do you write the standard form of the equation of the circle with the given the diameter with endpoints (-10, -6) and (-2, -4)?

##### 1 Answer

#### Answer:

#### Explanation:

Diameter with endpoints

To find the length of the diameter, use the distance formula

where

The length of the radius

The center of the circle is the midpoint of the diameter.

Remember, the midpoint of a segment is just the average of the x coordinates and the average of the y coordinates. This gives the midpoint formula

midpoint

midpoint

The center is

The equation of a circle is

where

Therefore, the equation is