Final answer:
The center and radius of a circle can be found using the standard form of the equation. The center is determined by the values of h and k in the equation, while the radius is the square root of r^2.
Step-by-step explanation:
To find the center and radius of a circle, we need information about the circle's equation. The standard form of the equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
- First, determine the center of the circle. If the equation is given in the form (x - h)^2 + (y - k)^2 = r^2, then (h, k) is the center.
- To find the radius, take the square root of the value of r^2 in the equation.
For example, if the equation of the circle is (x - 3)^2 + (y + 2)^2 = 16, the center is (3, -2) and the radius is 4.