Question
Find the center and radius of the circle $ x^2 + y^2 -100 = 0 $.
Answer
The center of the circle is point: $ C = \left(0, 0\right) $.
The radius of the circle is $ r = 10 $.
Explanation
Step 1: Move the loose number to the right side.
$$ x^2 + y^2 = 100 $$Step 2: Write circle equation as:
$$ (x - \color{blue}{0})^2 + (y - \color{blue}{0})^2 = \left( \color{red}{ 10 } \right)^2 $$Now we can see that the center is point $ \color{blue}{ C = ( 0 , 0 ) }$ and the radius is $ \color{red}{r = 10 } $.
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Circle equation Calculator