Final answer:
The equation of the circle with a center at (3,-5) and a diameter of 22 is x^2 + y^2 - 6x + 10y - 87 = 0.
Step-by-step explanation:
The circle with a center at (3,-5) and a diameter of 22 can be represented by the equation of a circle.
Using the formula (x - h)2 + (y - k)2 = r2, where (h,k) is the center of the circle and r is the radius, we can substitute the given values:
(x - 3)2 + (y + 5)2 = 112
Expanding and simplifying the equation gives:
x2 - 6x + 9 + y2 + 10y + 25 = 121
x2 + y2 - 6x + 10y - 87 = 0
So, the equation of the circle is x2 + y2 - 6x + 10y - 87 = 0.
corrected question: Find the equation of the circle with cetter (3,-5) and diameter 22