Question

Determine the equation of the circle graphed below. Circle Standard Form: Center: (h, k). Radius: r. (x-h) ^2+(y-k) ^2=r^2. Center: (5, -6). Radius: -6.

Answer 1

The radius cannot be negative, so r = |−6| = 6. With center (h,k) = (5,−6) and r = 6 the standard form is

(x − 5)^2 + (y + 6)^2 = 36.