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}}}

Algebra ->  Algebra  -> Circles -> 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}}}      Log On

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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.

X%5E2%2F4+%2B+y%5E2%2F4=1
Answer by dolly(163) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
The given equation is X%5E2%2F4+%2B+y%5E2%2F4=1
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