If the point ( x, √3/ 3) is on the unit circle, then the value of x will be √2/ 3. The correct option is D.
What is the equation of the circle with radius r units, centered at (x,y)?
If a circle O has a radius of r units length and it has got its center positioned at (h, k) point of the coordinate plane,
then, its equation is given as:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
The equation of unit circle is
[tex](x-h)^2 + (y-k)^2 = 1\\\\x^2 + \dfrac{\sqrt{3} }{3}^2 = 1\\\\x^2 + \dfrac{1 }{3} = 1\\\\\\x^2 = 1 - \dfrac{1 }{3} \\\\x^2 = 2/3\\[/tex]
Thus, x = √2/ 3
If the point ( x, √3/ 3) is on the unit circle, then the value of x will be √2/ 3.
The correct option is D.
Learn more about the equation of a circle here:
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