Question

A circle is represented by the equation below:

Answer 1

Answer:

The correct answer is the first option, the center of the circle is at (-2,4) and its radius is 15.

Step-by-step explanation:

A circle can be represented by the following equation:

$(x - x_c)^2 + (y - y_c)^2 = r^2$

Where $(x_c,y_c)$ are the coordinates of the center of the circle and $r$ is its radius. Comparing this to the given expression we can determine that the center of the given circle is $(-2,4)$ and the radius is $r = \sqrt{225} = 15$, therefore the correct answer is the first option.