The problem is to convert the following radian measures to degrees. Round to the nearest hundredth if necessary. 5) $\frac{\pi}{6}$ 6) $\frac{4\pi}{9}$ 7) $\frac{3\pi}{8}$ 8) $14\pi$

1. Problem Description

The problem is to convert the following radian measures to degrees. Round to the nearest hundredth if necessary.

5) $\frac{\pi}{6}$

6) $\frac{4\pi}{9}$

7) $\frac{3\pi}{8}$

8) $14\pi$

2. Solution Steps

To convert radians to degrees, we use the conversion factor $\frac{180^\circ}{\pi}$.

5) $\frac{\pi}{6}$ radians

Multiply by the conversion factor:

$\frac{\pi}{6} \cdot \frac{180^\circ}{\pi} = \frac{180^\circ}{6} = 30^\circ$

6) $\frac{4\pi}{9}$ radians

Multiply by the conversion factor:

$\frac{4\pi}{9} \cdot \frac{180^\circ}{\pi} = \frac{4 \cdot 180^\circ}{9} = \frac{720^\circ}{9} = 80^\circ$

7) $\frac{3\pi}{8}$ radians

Multiply by the conversion factor:

$\frac{3\pi}{8} \cdot \frac{180^\circ}{\pi} = \frac{3 \cdot 180^\circ}{8} = \frac{540^\circ}{8} = 67.5^\circ$

8) $14\pi$ radians

Multiply by the conversion factor:

$14\pi \cdot \frac{180^\circ}{\pi} = 14 \cdot 180^\circ = 2520^\circ$

3. Final Answer

5) $30^\circ$

6) $80^\circ$

7) $67.5^\circ$

8) $2520^\circ$