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

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

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

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

    3. A circle with equation x2 + y2 − 8x + 10y + 5 = 0.

Remember the general equation for a circle is (xh)2 + (yk)2 = r2 where (h, k) is the center.

See part (a).

Complete the squares for x and y.

Rearrange the equation:
x2 − 8x + _______ + y2 + 10y + _______ = −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