A circle is defined by the equation given below.

x^2+y^2-x-2y-11/4=0

What are the coordinates for the center of the circle and the length of the radius?

(1/2, 1)

2

Step-by-step explanation:

x² + y² - x - 2y - 11/4 = 0

x² - x + y² - 2y = 11/4

Complete the squares.

x² - x + 1/4 + y² - 2y + 1 = 11/4 + 1/4 + 1

(x - 1/2) ² + (y - 1) ² = 4

The center of the circle is (1/2, 1) and the radius of the circle is 2.