The equation of the circle that passes through the point (√3 , 0) and has a center at the origin is x^2 + y^2 = 3.
Using the distance formula, get the radius of the circle by solving for the distance between the center and the point (√3 , 0).
radius = distance = √(x2 - x1)^2 + (y2 - y1)^2
radius = √(√3 - 0)^2 + (0 - 0)^2
radius= √3
The standard form of the equation of the circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (0 , 0)
r = √3
(x - 0)^2 + (y - 0)^2 = (√3)^2
x^2 + y^2 = 3
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