SOLUTION: Which point lies on a circle with a radius of 5 units and center at P(6, 1)? Q(1, 11) R(2, 4) S(4, -4) T(9, -2)

Algebra ->  Pythagorean-theorem -> SOLUTION: Which point lies on a circle with a radius of 5 units and center at P(6, 1)? Q(1, 11) R(2, 4) S(4, -4) T(9, -2)       Log On


   

Question 884419:
Which point lies on a circle with a radius of 5 units and center at P(6, 1)?

Q(1, 11)

R(2, 4)

S(4, -4)

T(9, -2)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The general equation for a circle centered at (h,k) with radius, R, is
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
In this case,
%28x-6%29%5E2%2B%28y-1%29%5E2=5%5E2
%28x-6%29%5E2%2B%28y-1%29%5E2=25
Now test each point with this formula and see which ones make the formula correct.
Example: (1,11)
%281-6%29%5E2%2B%2811-1%29%5E2=25
%28-5%29%5E2%2B%2810%29%5E2=25
25%2B100=25
125=25
False, so point Q is not on the circle.
Do the same for the remaining points.