SOLUTION: Determine whether the given equation represent a circle. If the equation represents the circle then find the radius and center of the circle.
{{{X^2/4 + y^2/4=1}}}
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-> SOLUTION: Determine whether the given equation represent a circle. If the equation represents the circle then find the radius and center of the circle.
{{{X^2/4 + y^2/4=1}}}
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Question 136921: Determine whether the given equation represent a circle. If the equation represents the circle then find the radius and center of the circle.
You can put this solution on YOUR website! Hi,
The given equation is
Now taking the common denominator as 4,
multiply both sides by the common denominator.
==> x^2 + y^2 = 4
This can be compared with the standard equation of the circle which is
x^2 + y^2 = r^2
==> the radius = 2
and the centre is the origin (0,0)
Thus the centre is (0,0) and the radius is 2 units
Good luck!!!
dolly