The center is ( 7, -2) and radius 11.
The equation of a circle when you know the radius and center, use the formula ( x − a )² + ( y − b ) ² = r²
Given equation is : (x – 7) ²+ (y + 2)² = 121...............(1)
and we know, The standard equation of a circle with center (h, k) and radius r be
is (x - h)² + (y - k)² = r². .........(2)
Comparing equation (1) and (2), we get
h=7, k = -2, r = 11
Hence, the center is ( 7, -2) and radius 11.
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