If the point P(0.5,k) lies on a circle with a radius of 1, then the exact value of k can be expressed as +/- square root of b. The value of b, to the nearest hundredth, is ___.
+2666 The equation of the circle is \(x^2 + k^2 = 1\).
We know that \(x = {1 \over 2}\). Subsituting this in gives us: \({1 \over 2} ^2 + k^2 = 1\)
This means \(k^2 = {3 \over 4}\).
Now, we have to take the square root, and round the result to the nearest hundredth.
