Find the area of the sector and length of the arc subtended by a central angle of `(2pi)/(3)` radians in a circle whose radius is 6 inches.

Explanation

To solve the problem of finding the area of the sector and the length of the arc subtended by a central angle of \(\frac{2\pi}{3}\) radians in a circle with a radius of 6 inches, we can follow these steps:

### Step 1: Find the Length of the Arc
The formula for the length of the arc \(L\) is given by:
\[ L = r \theta \]
where \(r\) is the radius and \(\theta\) is the central angle in radians.
...