Hey bot, write an equation of a circle with the given center and radius
center(2,4) and radius 5
(x-2)^2 + (y-4)^2 = 25
Correct! That is the equation of a circle with center at (2,4) and radius 5.
To write the equation of a circle, we use the formula:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) represents the center of the circle and r represents the radius.
In this case, the given center is (2, 4) and the radius is 5. Therefore, the equation of the circle can be written as:
(x - 2)^2 + (y - 4)^2 = 5^2
Expanding this equation gives:
(x - 2)^2 + (y - 4)^2 = 25
So, the equation of the circle with the given center and radius is (x - 2)^2 + (y - 4)^2 = 25.
To write the equation of a circle given its center and radius, we can use the general form of the equation of a circle, which is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) represents the center of the circle, and r is the radius.
In this case, the given center is (2, 4), and the radius is 5. Plugging these values into the equation, we have:
(x - 2)^2 + (y - 4)^2 = 5^2
Expanding and simplifying further:
(x - 2)^2 + (y - 4)^2 = 25
Therefore, the equation of the circle with center (2, 4) and a radius of 5 is (x - 2)^2 + (y - 4)^2 = 25.