The diameter of a circle has endpoints (-2,-6) and (8,-10)

Enter an equation for the circle in standard form.

Solution:

Given that,

The diameter of a circle has endpoints (-2,-6) and (8,-10)

Use the midpoint formula to find center of circle

Radius = distance between center and one of end points

distance between (3 , -8) and (-2 , -6)

Use distance formula

The standard equation of the circle:

Where, (h , k) is the center of circle

Thus the equation of circle is found