SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Re-draw the given circe to show the radius
STEP 2: Explain the radius
A radius is a line drawn from the centre of a given circle to any part on the circumference. This line divides a circle into equal quarters as seen on the image. The radius divides the circle equally both vertically and horizontally.
STEP 3: Show the centre
Since the line of the radius goes from the centre, therefore the part identified below will be the centre
STEP 4: Get the coordinate of the centre
The coordinate of the centre will be the point on the x-axis as agianst the point on the y-axis.
Hence, the center of the given circle is:
![\lparen-3,2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/ox4izbyhft8i22d61tu5vlixmcif1f6qjv.png)