SOLUTION: the points (-1,4) and (3,-2) are the endpoints of a diameter of a circle. Find the center of the circle, and the radius, and write the equation of the circle.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: the points (-1,4) and (3,-2) are the endpoints of a diameter of a circle. Find the center of the circle, and the radius, and write the equation of the circle.      Log On


   

Question 609537: the points (-1,4) and (3,-2) are the endpoints of a diameter of a circle. Find the center of the circle, and the radius, and write the equation of the circle.
Answer by solver91311(24713) About Me  (Show Source):
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Use the midpoint formulas to calculate the midpoint of the diameter, which is to say the center of the circle.

and



where and are the coordinates of the given diameter endpoints.

Use the distance formula to calculate the measure of the radius of the circle



where and are the coordinates of either diameter endpoint and the calculated diameter midpoint.

Write the equation of the circle centered at with radius :



John

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