Center of a circle (from equation)
(h,k)
The center of a circle can be determined from the equation of the circle. The general equation of a circle is:
(x – h)^2 + (y – k)^2 = r^2
Where (h, k) represents the center coordinates of the circle, and r represents the radius.
To find the center of the circle from this equation, we need to identify the values of h and k. These values are found by isolating them from the equation.
For example, let’s say we have the equation of a circle:
(x – 2)^2 + (y + 3)^2 = 25
We can identify the center by comparing this equation to the general equation of a circle. We can see that h = 2 and k = -3. Therefore, the center of the circle is (2, -3).
Note that if the equation of the circle is not in standard form, we need to rearrange it to match the standard form of the equation of a circle.
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