The equations that represent the circle having a with radius 8 and center (10,−7) are; (x - 10)² + (y + 7)² = 8²
The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle, and r is its radius.
We have given that circle having radius of 8 units. Thus, r = 8.
Since we know that circle having the center (10,−7).
Thus, the equation of the circle, with a radius of 8 units is;
(x - h)² + (y - k)² = r²
(x - 10)² + (y + 7)² = 8²
Thus, the equations that represent the circle having a with radius 8 and center (10,−7) are; (x - 10)² + (y + 7)² = 8²
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