SOLUTION: 1.Given the endpoints of the diameter of the circle which are (4, -2) and (-2, -8). Find the SF, Center, Radius, and General form.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: 1.Given the endpoints of the diameter of the circle which are (4, -2) and (-2, -8). Find the SF, Center, Radius, and General form.       Log On


   



Question 1165003: 1.Given the endpoints of the diameter of the circle which are (4, -2) and (-2, -8). Find the SF, Center, Radius, and General form.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the midpoint formulas to find the midpoint of the diameter which is the center of the circle. Use the distance formal to find the distance from the center to either endpoint of the diameter to find the measure of the radius.

Then the equation of the circle is:



Where is the center of the circle and is the radius of the circle.

Hint: Use this form of the distance formula: because you don't actually need you need

You can put it into whatever form you like after that.

John

My calculator said it, I believe it, that settles it