Precalculus Examples

$\frac{π}{6}$

To convert radians to degrees, multiply by $\frac{180}{π}$ , since a full circle is $360 °$ or $2 π$ radians.

$(\frac{π}{6}) \cdot \frac{180 °}{π}$

Cancel the common factor of $π$ .

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Factor out the greatest common factor $π$ .

$\frac{π \cdot 1}{6} \cdot \frac{180}{π \cdot 1}$

Cancel the common factor.

$\frac{π \cdot 1}{6} \cdot \frac{180}{π \cdot 1}$

Rewrite the expression.

$\frac{1}{6} \cdot \frac{180}{1}$

Cancel the common factor of $6$ .

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Factor out the greatest common factor $6$ .

$\frac{1}{6 \cdot 1} \cdot \frac{6 \cdot 30}{1}$

Cancel the common factor.

$\frac{1}{6 \cdot 1} \cdot \frac{6 \cdot 30}{1}$

Rewrite the expression.

$\frac{1}{1} \cdot \frac{30}{1}$

Simplify.

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Multiply $\frac{1}{1}$ and $\frac{30}{1}$ .

$\frac{30}{1}$

Divide $30$ by $1$ .

$30$

Convert to a decimal.

$30 °$

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