If you are given two points (a,b) and (c,d)
the midpoint is ( (a+c)/2 , (b+d)/2 )
and the distance between them is √( (a-c)^2 + (b-d)^2 )
apply this to your data,
then let me know what you got for the equation of the circle.
The diameter of a circle has endpoints P(- 10, - 8) ) and Q(4, 4) . a. Find the center of the circle. bFind the radius. If your answer is not an integer, express it in radical form. . Write an equation for the circle.
2 answers
the center is the midpoint of PQ
the radius is half the length of PQ
with (h,k) as the center, and r as the radius
... the circle equation is ... (x - h)^2 + (y - k)^2 = r^2
the radius is half the length of PQ
with (h,k) as the center, and r as the radius
... the circle equation is ... (x - h)^2 + (y - k)^2 = r^2
2 answers