Question

Write an equation of a circle with the given center and radius. Check your

answers,
(-4,-6), 7

Answer 1

Answer:
`\boldsymbol{(x + 4)^2 + (y + 6)^2 = 49}\\\\`

Work Shown:

`(h,k) = (-4,-6) = \text{center}\\\\r = 7 = \text{radius}\\\\(x - h)^2 + (y - k)^2 = r^2\\\\(x - (-4))^2 + (y - (-6))^2 = 7^2\\\\\boldsymbol{(x + 4)^2 + (y + 6)^2 = 49}\\\\`

To check the answer, you can use a graphing calculator like GeoGebra or Desmos or similar.