equation of a circle
The equation of a circle is given by:
(x – h)^2 + (y – k)^2 = r^2
where (h, k) represents the center of the circle, and r represents the radius
The equation of a circle is given by:
(x – h)^2 + (y – k)^2 = r^2
where (h, k) represents the center of the circle, and r represents the radius.
To understand this equation, let’s break it down:
– (x – h) represents the horizontal distance from a point (x, y) on the circle to the center of the circle (h, k).
– (y – k) represents the vertical distance from the point (x, y) on the circle to the center of the circle (h, k).
– r is the radius of the circle, which is the distance from the center to any point on the circle. Squaring r^2, brings the equation to standard form.
Using this equation, you can determine certain properties of a circle such as its center and radius. If you have specific values for (h, k) and r, you can substitute them into the equation to find the equation of the circle. For example, if the center is (2, -3) and the radius is 5, the equation of the circle would be:
(x – 2)^2 + (y – (-3))^2 = 5^2
Simplifying this equation would give you the specific equation for this circle.
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