Find a equation of a circle that has a diameter with endpoints -5,-3 and -11,-3

+ =

Step-by-step explanation:

The equation of a circle is given as :

+ =

Where (a,b) are the coordinate of the center and r is the radius of the circle.

The end point of the diameter is give as (-5, -3 ) and ( -11 , -3 ) , This means that we can find the coordinate of the center by finding the mid point of the end point. The mid point is calculated by :

Mid point = ( , )

= -5

= -11

= -3

= -3

Substituting this values into the formula for finding mid point , we have

Mid point = ( ,

Mid-point = (-8 , -3)

Remember that Radius is half of the diameter , To find the diameter we must find the distance between the two end point using the formula for calculating distance between two points , that is

D =

Substituting the values :

D =

D =

D = 6

Therefore , The diameter i s 6

And since radius is half of the diameter , radius is thus

r = 6/2

r = 3

So , substituting the values gotten into the equation of circle , we have:

+ =

+ =

answer: a

step-by-step explanation:

10.2 units