+0  
 
0
845
1
avatar

what is the radius of a circle with the volume of 1/6pi?

 Jun 9, 2014

Best Answer 

 #1
avatar+130511 
+5

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

 Jun 9, 2014
 #1
avatar+130511 
+5
Best Answer

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

CPhill Jun 9, 2014

0 Online Users