Determine the center radius from of the equation of the circle having a diameter with endpoints (-2,1) and (14,5)

I'm not sure about your question, but i'll just jam information here.finding the radius with the endpoints only: halve the distance of the line segment created by the two end points.half the distancefinding the center: the midpoint of the diameter is the center of the circle. the midpoint is the average of the two x-coords and the average of the y-coord together.average of the x-coord:   average of the y-coord: so the center is at  .finding the radius with the center: to calculate the radius of this circle, get the distance from center to one of the endpoints. we can choose  .the distance formula: equation of the circle:   base equation: translate to the center, equaling to the square of the radius.