Question

consider the following equation of a circle.
step 2 of 3: find the radius, r.
answer
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\\((x - \frac{1}{3})^2+(y - \frac{7}{4})^2=\frac{49}{36}\\)

Explanation:

Step1: Recall circle - equation formula

The standard form of a circle equation is $(x - a)^2+(y - b)^2=r^2$, where $r$ is the radius.

Step2: Compare with given equation

Given $(x-\frac{1}{3})^2+(y - \frac{7}{4})^2=\frac{49}{36}$. Comparing with the standard - form, we have $r^2=\frac{49}{36}$.

Step3: Solve for $r$

Take the square - root of both sides. Since $r>0$, $r=\sqrt{\frac{49}{36}}=\frac{7}{6}$.

Answer:

$\frac{7}{6}$