First, only three-dimensional objects have "volume." A circle is a two-dimensional object that has an "area."
So, let's suppose you meant that it has an area of pi/6.
The "formula" for its area is
A = pi*r^2 where r is the radius ...... so we have
pi/6 = pi*r^2 divide both sides by pi
1/6 = r^2 take the positive square root of both sides
√(1/6) = r ... and "rationalizing" the denominator produces ... √(6)/6
First, only three-dimensional objects have "volume." A circle is a two-dimensional object that has an "area."
So, let's suppose you meant that it has an area of pi/6.
The "formula" for its area is
A = pi*r^2 where r is the radius ...... so we have
pi/6 = pi*r^2 divide both sides by pi
1/6 = r^2 take the positive square root of both sides
√(1/6) = r ... and "rationalizing" the denominator produces ... √(6)/6