Enter the equation of the circle described below.
Center (0,4), radius V3
Answer:
The equation is:
[tex](x - 0)^2 + (y - 4)^2 = 3[/tex]
Step-by-step explanation:
The equation of a circle:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
(where [tex](h, k)[/tex] represents the center and [tex]r[/tex] the radius).
-Use the given center and radius for the equation of a circle:
[tex](x - 0)^2 + (y - 4)^2 = \sqrt{3} ^2[/tex]
After, you have the equation of a circle written, simplify the radius by the exponent [tex]2[/tex]:
[tex](x - 0)^2 + (y - 4)^2 = 3[/tex]
So now, you have found the equation of a circle.
Answer:
(x)^2 + (y - 4)^2 = 3
(it could also be (x - 0)^2 + (y - 4)^2 = 3 but you can drop the zero by the x and just have it like: (x)^2 + (y - 4)^2 = 3)