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Example Questions
Example Question #1 : Finding The Center And Radius
Find the center and radius of the circle defined by the equation:
The equation of a circle is: where
is the radius and
is the center.
In this problem, the equation is already in the format required to determine center and radius. To find the -coordinate of the center, we must find the value of
that makes
equal to 0, which is 3. We do the same to find the y-coordinate of the center and find that
. To find the radius we take the square root of the constant on the right side of the equation which is 6.
Example Question #2 : Finding The Center And Radius
Find the center and radius of the circle defined by the equation:
The equation of a circle is: where
is the radius and
is the center.
In this problem, the equation is already in the format required to determine center and radius. To find the -coordinate of the center, we must find the value of
that makes
equal to
, which is
. We do the same to find the y-coordinate of the center and find that
. To find the radius we take the square root of the constant on the right side of the equation which is 10.
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