# What is the equation of the circle with radius r=1/8 and center (h,k) (1/8,0)?

Dec 8, 2015

I found:
${x}^{2} - \frac{x}{4} + {y}^{2} = 0$

#### Explanation:

Start from the general form:
$\textcolor{red}{{\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^{2}}$
With you data:
${\left(x - \frac{1}{8}\right)}^{2} + {y}^{2} = \frac{1}{64}$
${x}^{2} - \frac{x}{4} + \cancel{\frac{1}{64}} + {y}^{2} = \cancel{\frac{1}{64}}$