### Home > A2C > Chapter 5 > Lesson 5.2.1 > Problem 5-72

5-72.

Give the equation of each circle below in graphing form. 5-72 HW eTool (Desmos). Homework Help ✎

A circle with center (0, 0) and radius 6.

A circle with center (2, −3) and radius 6.

A circle with equation

*x*^{2}+*y*^{2}− 8*x*+ 10*y*+ 5 = 0.

Remember the general equation for a circle is (*x* − *h*)^{2} + (*y* − *k*)^{2} = *r*^{2} where (*h*, *k*) is the center.

See part (a).

Complete the squares for *x* and *y*.

Rearrange the equation:*x*^{2} − 8*x* + _______ + *y*^{2} + 10*y* + _______ = −5 + _______ + _______

(*x* − 4)^{2} + (*y* + 5)^{2} = 36

Use the eTool below to graph the equations for each part.

Click the link at right for the full version of the eTool: A2C 5-72 HW eTool