[(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If 0<a<b, find the radius R and center (h,k) of the circle that passes through the points (0,a) and (0,b) and is tangent to the x-axis at a point to the right of the origin.

2. Relevant equations

((x-h)^2) + ((y-k)^2)=R^2 (equation of the circle centered around (h,k))

3. The attempt at a solution

I already showed that R=k=(a+b)/2, which accounts for both the radius R and the y-component of the center of the circle. However, I'm having some trouble discovering h, the x-component of the circle center, in terms of a and b.

I also know that k>h. Is there some way I can use the arc length of a quarter of the circle as a hypotenuse for a right triangle using R and h as the height and base, respectively?

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# Homework Help: Equation for a circle in terms of constants A and B

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