the equation for the circle is given as (x + 1)² + (y - 4)² = 221.
The endpoints of the diameter are:
(13, -1) and (-15, 9)
Distance between the points:
D = √(x₂ - x₁)² + (y₂ - y₁)²
D = √(-15 - 13)² + (9 +1)²
D =√784 + 100
D = √884
Diameter is:
d = 2√221
Radius is:
r = √221
Center will be:
x = (13 + (-15) / 2) = -1
y = (- 1 + 9 ) / 2 = 4
C = (-1, 4)
Equation for the circle:
(x + 1)² + (y - 4)² = 221
Therefore, we get that, the equation for the circle is given as (x + 1)² + (y - 4)² = 221.
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