Question

can someone please help me with this? :)

Answer 1

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

Answer 2

what is this? What I do know is that the circle is defined by the equation (x^2-h^2)+(y^2-k^2)=r^2

Answer 3

General Formula:

Answer 4

\(\Large x^2 + y^2 – x – 2y = 0\\\Large [(x^2-2\times \frac{1}{2}\times x+(\frac{1}{2})^2)-(\frac{1}{2})^2]+[(y^2-2\times1 \times y+1)-1]=0\\\Large (x-\frac{1}{2})^2+(y-1)^2-\frac{3}{4}=0\\\Large (x-\frac{1}{2})^2+(y-1)^2=\frac{3}{4}\)
The center is at \(\Large (h, k) = (\frac{1}{2},1)\)
The radius is \(\Large r = \sqrt{ \frac{3}{4} } = \frac{\sqrt{3}}{2}\)