SOLUTION: Find an equation for the circle that is centred at the origin and a)has a radius of 3.7 b) has a radius of sqrt 8 c) has a diameter of 18 d) passes through the point (3,5)

Algebra ->  Linear-equations -> SOLUTION: Find an equation for the circle that is centred at the origin and a)has a radius of 3.7 b) has a radius of sqrt 8 c) has a diameter of 18 d) passes through the point (3,5)       Log On


   

Question 840199: Find an equation for the circle that is centred at the origin and
a)has a radius of 3.7
b) has a radius of sqrt 8
c) has a diameter of 18
d) passes through the point (3,5)
gracias
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You did not specifiy the radius for part (d). Assuming radius is r,
%28x-3%29%5E2%2B%28y-5%29%5E2=r%5E2 is this circle.

Your other three questions rely on the standard form for a circle centered at (0,0), which is x%5E2%2By%5E2=r%5E2;

(a) r%5E2+=+%283.7%29%5E2
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(b) r%5E2=%28sqrt%288%29%29%5E2=8
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(c) r%5E2=%2818%2F2%29%5E2=9%5E2=81
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Write the equations appropriately.