The line whose equation is x=5 is tangent to a circle whose center is at the origin. What is the equation of the circle and how do you find it?

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Angela -Always draw a sketch of the problem like this:Now you should see that this is simply a circle centered at the origin (0,0) = (h,k) and with a radius equal to 5, agree?The formula for this circle comes from the general formula for a circle:Now, just plug in h, k and r and you have your answer.Hope that helps