ellipse, please help

Question

Find the standard form for the equation of a circlewith a diameter that has endpoints  and .

Answer 1

(h, k) is the center of the circle

If our endpoints are (-6,8) and (9,3), then the center is halfway between the two:

1. (-6 + 9) / 2 = 1.5
2. (8 + 3) / 2 = 5.5

Therefore, (h,k) = (1.5, 5.5)

r is the radius.

The length of the diameter can be found using the distance formula and the diameter's endpoints:

1. √((-6-9)² + (8-3)²) = √(225 + 25) = 15.8

r = diameter/2 = 7.9

Equation:

(x-h)² + (y-k)² = r²

(x-1.5)² + (y-5.5)² = (7.9)²