Question

question
determine the equation of the circle graphed below.
answer attempt 1 out of 2
submit answer

Explanation:

Step1: Find the center of the circle

From the graph, the center of the circle \((h,k)\) is \((2,1)\).

Step2: Find the radius of the circle

Count the units from the center \((2,1)\) to a point on the circle. The radius \(r = 5\).

Step3: Use the standard equation of a circle

The standard equation of a circle is \((x - h)^2+(y - k)^2=r^2\). Substitute \(h = 2\), \(k = 1\), and \(r = 5\) into the equation:

$$
LATEXBLOCK0
$$

Answer:

\((x - 2)^2+(y - 1)^2 = 25\)