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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 ___.

 May 18, 2022
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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. 

 May 18, 2022

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