SOLUTION: 1. Janifryda is playing with a frisbee whose diameter is 12 inchers. If she tosses it onto a coordinate plane, and its center falls on thepoint (-2,1), whatis the equation of the f

Algebra ->  Trigonometry-basics -> SOLUTION: 1. Janifryda is playing with a frisbee whose diameter is 12 inchers. If she tosses it onto a coordinate plane, and its center falls on thepoint (-2,1), whatis the equation of the f      Log On


   

Question 143411: 1. Janifryda is playing with a frisbee whose diameter is 12 inchers. If she tosses it onto a coordinate plane, and its center falls on thepoint (-2,1), whatis the equation of the frisbee?

thank you!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with the general form of the equation of a circle (assuming the Frisby is circular) of radius r and center at (h, k):
%28x-h%29%5E2%2B%28y-k%29%5E2+=+r%5E2
In the problem, the center is given as (-2, 1) and the radius is half the diameter so that's 12/2 = 6 inches. Make the appropriate substitutions into the equation:
%28x-%28-2%29%29%5E2%2B%28y-1%29%5E2+=+6%5E2 Simplify.
%28x%2B2%29%5E2%2B%28y-1%29%5E2+=+36