Question

The point (6, 5) lies on a circle centered at (3, –2). Find the radius of the circle.

A.R=3.61
B.R=7.62
C.R=7.81
D.R=58

Answer 1

The radius of circle is simply distance from center of circle to any point on the circle. since we have coordinates of both center and some point we can use formula for distance between 2 points in coordinate system to find radius.

R = √((6-3)^2 + (5-(-2))^2)
R = √(9 + 49)
R = √58

R = 7.6157 which round is 7.62

Answer is R = 7.62