Question

The point (-3, 2) lies on a circle. What is the length of the radius of the circle if the center is located at (-1, 5)?

Answer 1

R: √(13)

Explanation:

Distance formula:

r^2 = (x-h)^2 + (y-k)^2

Center: (h,k)=(-1,5)

Circle: all points of (x,y)=(-3,2)

r^2=(-3+1)^2 + (2-5)^2

r^2=(-2)^2 + (-3)^2

r^2= 4 + 9

r^2=13 ((r^2)^(1/2)) = 13^(1/2) = 3.6055