## Write the standard equation of a circle that passes through (−4, 0) with center (−1, −4).

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## Answers ( No )

Modify the std eqn of a circle with center at (h,k) to find the radius r:

(-4+1)^2 + (0+4)^2 = r^2. Then 9 + 16 = 25, and so r^2 = 25, and r = +5.

The equation is (x+1)^2 + (y+4)^2 = 25.

the equation of a circle is defined by: where (h,k) is the center of the circle and “r” is the radius. So we need to find the radius, which is the distance between the center (-1,-4) and the point on the circle (-4, 0). Do this using the distance formula: d =

so distance =

Now we just write the equation: