1 answer:
Find the center, which is the midpoint of the two endpoints given.
(x1 +x2)/2 , (y1 +y2)/2
(4-2)/2 , (-3+5)/2
2/2 , 2/2
Midpoint = (1,1)
Find the radius, which is the distance from the center to an end point.
√(x2-x1)^2 +(y2-y1)^2
√(4-1)^2 + (-3-1)^2
√(3^2 + -4^2)
√9+16
√25
r = 5
The equation for a circle is written as (x-h)^2 + (y-k)^2 = r^2
h and k are the center points.
Replace the letters with their values to get:
(x-1)^2 + (y-1)^2 =25
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