Question

A circle is defined by the equation x2 + y2 – x – 2y – 11/4 = 0. What are the coordinates for the center of the circle and the length of the radius?

Answer 1

\[
x^2 + y^2 – x – 2y – 11/4 =x^2 -x +\frac 1 4 -\frac 14 + y^2 - 2y + 4-4 -11/4=\\
(x-\frac 1 2)^2+ (y-2)^2-\frac 1 4 -4 -\frac{11}4=\\
(x-\frac 1 2)^2+ (y-2)^2-7=0\\
(x-\frac 1 2)^2+ (y-2)^2 =(\sqrt 7)^2
\]
Center(1/2 ,2)
radius = \sqrt 7

Answer 2

radius=\( \sqrt 7\)

Answer 3

(1,1), 2 units?

Answer 4

Center is \( \left( \frac 1 2 ,2 \right)\)

Answer 5

radius=\( \sqrt 7\)

Answer 6

thank you!

Answer 7

YW