The circle is defined by the equation (x + 3) ^ 2 + (y-2) ^ 2 = 25. Specify the coordinates of the center of the circle.
| July 13, 2021 | education
To solve this task, you need to know the equation of the circle.
Circle equation: (x – xo) ^ 2 + (y – y0) ^ 2 = R ^ 2.
Where O (xo; yo) is the center of the circle, R is the radius of the circle.
Our equation is (x + 3) ^ 2 + (y – 2) ^ 2 = 25.
We need to find the ho and the ho.
x – xo = x + 3.
Subtract x from both sides.
– xo = 3.
Multiply both sides by (-1).
xo = -3.
y – yo = y – 2.
Subtract y from both parts.
-yo = -2.
Multiply both sides by (-1).
yo = 2.
The center of the circle at the point (- 3; 2).
Answer: Coordinates of the center at point (- 3; 2).
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