Question

Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).

Answer 1

9514 1404 393

Answer:

  (x -4)^2 +(y -7)^2 = 36

Step-by-step explanation:

The equation of a circle with radius r and center at (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...

  (x -4)^2 +(y -7)^2 = 36