Determine the equation of the circle with radius 88 and center left bracket, minus, 2, comma, minus, 7, right bracket(−2,−7).
The general equation of a circle with radius r and center (h,k) is:
(x - h)^2 + (y - k)^2 = r^2
Substitute r = 88, h = -2, and k = -7 into the equation:
(x - (-2))^2 + (y - (-7))^2 = 88^2
(x + 2)^2 + (y + 7)^2 = 7744
Therefore, the equation of the circle is (x + 2)^2 + (y + 7)^2 = 7744.