Question

The equation of a circle is shown below.

(x – 3)2 + (y – 2)2 = 9

Which statement is true about the center of the circle?

It is located on the y-axis.

It is located in the third quadrant.

It is located in the first quadrant.

It is located on the x-axis.

Answer 1

The standard equation for a circle is

(x-h)^2 + (y-k)^2 = r^2

where the center is at (h,k)

For this problem, the center is at (3,2). The abscissa and the ordinate are all positive. So this must be located on the first quadrant.

Hence, the answer is It is located in the first quadrant..