Question

Select the correct answer. √3 1,53 If the point 3 is on the unit circle, what is x?

Answer 1

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:

$(x-h)^2 + (y-k)^2 = r^2$

The equation of unit circle is

$(x-h)^2 + (y-k)^2 = 1\\\\x^2 + \dfrac{\sqrt{3} }{3}^2 = 1\\\\x^2 + \dfrac{1 }{3} = 1\\\\\\x^2 = 1 - \dfrac{1 }{3} \\\\x^2 = 2/3$

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:

brainly.com/question/10165274

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