Problema Solution

Find the standard form for the equation of a circle

(x-h)sqrd + (y-k)sqrd = r sqrd

with a diameter that has endpoints (-4,5) and (1,6).

h= ________

k= ________

r= ________

Answer provided by our tutors

The midpoint between the two endpoints is (-1.5, 5.5)

The distance between the endpoints is sqrt(1^2+5^2), the radius is half that.

 

h=-1.5

k=5.5

r= sqrt(26)/2