Give the equation of the circle with the given center and radius. Center at (0, 2); radius = 5
What does
(x-xo)^2+(y-yo)^2=r^2 mean? What exactly is xo,yo ?
You need to learn this quickly.
x^2 + (y-2)^2 = 25
Is this correct?
To find the equation of a circle with a given center and radius, you can use the standard form of the equation for a circle, which is:
(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, given that the center is (0, 2) and the radius is 5, we can substitute these values into the equation:
(x - 0)^2 + (y - 2)^2 = 5^2
Simplifying further, we have:
x^2 + (y - 2)^2 = 25
So, the equation of the circle with a center at (0, 2) and a radius of 5 is x^2 + (y - 2)^2 = 25.