What is the radius for the circle given by the equation x^2+(y-1)^2=12
Mathematics · High School · Tue Nov 03 2020
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Given the equation of the circle:
x^2+(y-1)^2=12
Determine the radius of the circle.
In order to determine the radius of the circle we look at the standard equations for circle.
Equation of Circle with center at origin ( 0,0 )
x^2 + y^2 = r^2
Equation of Circle with center at any point ( h,k)
(x-h)^2 + (y-k)^2 = r^2
Looking back the given equation of the circle, we know that 12 is in r^2, therefore to find the radius of the circle, we take the square root of r^2
r^2 = 12
√r^2 = √12
r = √12
r = 3.46
Final answer: The radius of the circle is √12 or 3.46.