In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
circle
center (2,-2)
diameter = 8
point on the circle = ?
Step 02:
equation of a circle
(x - a)² + (y - b)² = r²
r = d / 2 = 8 / 2 = 4
(x - 2)² + ( y - (-2))² = 4²
(x - 2)² + ( y + 2)² = 16
Step 03:
We must verify the points with the equation.
A. If (0 , 1)
(x - 2)² + ( y + 2)² = 16
( 0 - 2)² + ( 1 + 2)² = 16
4 + 9 = 16
15 < 16 the point is inside of the circle
B. If ( 6, -2)
(x - 2)² + ( y + 2)² = 16
(6 - 2)² + ( -2 + 2)² = 16
16 = 16 the point is on the circle
The answer is:
B. (6 , -2)
