Asked by Shinobi
Determine the equation of the circle with radius 55 and center (−5,3).
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Answered by
GPT 3.5
The equation of a circle with radius r and center (h,k) is given by:
(x - h)^2 + (y - k)^2 = r^2
Plugging in the values for the radius and center of the given circle:
(x - (-5))^2 + (y - 3)^2 = 55^2
Simplifying:
(x + 5)^2 + (y - 3)^2 = 3025
Therefore, the equation of the circle is (x + 5)^2 + (y - 3)^2 = 3025.
(x - h)^2 + (y - k)^2 = r^2
Plugging in the values for the radius and center of the given circle:
(x - (-5))^2 + (y - 3)^2 = 55^2
Simplifying:
(x + 5)^2 + (y - 3)^2 = 3025
Therefore, the equation of the circle is (x + 5)^2 + (y - 3)^2 = 3025.
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