SOLUTION: how is the steps done for these? Find the centre and the radius of 1.)25x^2+25y^2=25

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Question 730156: how is the steps done for these?
Find the centre and the radius of
1.)25x^2+25y^2=25



Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Divide both sides by 25:



Then



is the equation of a circle centered at with radius .

Rewrite your equation:



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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The center-radius form of the circle equation is in the format %28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2, with the center being at the point (h, k) and the radius being "r".

25x%5E2%2B25y%5E2=25+....both sides divide by 25

25x%5E2%2F25%2B25y%5E2%2F25=25%2F25+
x%5E2%2By%5E2=1+....compare to %28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2 and you see that (h, k)=(0, 0) and r=1
+graph%28+600%2C+600%2C+-2%2C+2%2C+-2%2C2%2C+x%5E2%2By%5E2%3C=1%29+