Question #N235
In the xy-plane, a circle has a radius of 5 and a center at (2, 3). Which of the following points lies on the circle?
A. (2, 8)
B. (7, 3)
C. (2, -2)
D. (7, 8)
Correct Answer is: B
The standard form of the equation of a circle with center (h, k) and radius r is (x - h)^2 + (y - k)^2 = r^2. Substituting the values h = 2, k = 3, and r = 5 into this equation yields (x - 2)^2 + (y - 3)^2 = 25. Of the given choices, only (7, 3) satisfies this equation: (7 - 2)^2 + (3 - 3)^2 = 25. Therefore, (7, 3) lies on the circle.