The equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64. Then the correct option is D.
What is an equation of a circle?
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x – h)² + (y – k)² = r²
A circle with center (-1, 2) and radius of 8.
Then the equation of the circle will be
(x – h)² + (y – k)² = r²
(x + 1)² + (y – 2)² = 8²
(x + 1)² + (y – 2)² = 64
Thus, the equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64.
Then the correct option is D.
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