Precalculus Examples

$\frac{π}{4}$

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

$(\frac{π}{4}) \cdot \frac{180 °}{π}$

Cancel the common factor of $π$ .

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Factor out the greatest common factor $π$ .

$\frac{π \cdot 1}{4} \cdot \frac{180}{π \cdot 1}$

Cancel the common factor.

$\frac{π \cdot 1}{4} \cdot \frac{180}{π \cdot 1}$

Rewrite the expression.

$\frac{1}{4} \cdot \frac{180}{1}$

Cancel the common factor of $4$ .

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Factor out the greatest common factor $4$ .

$\frac{1}{4 \cdot 1} \cdot \frac{4 \cdot 45}{1}$

Cancel the common factor.

$\frac{1}{4 \cdot 1} \cdot \frac{4 \cdot 45}{1}$

Rewrite the expression.

$\frac{1}{1} \cdot \frac{45}{1}$

Simplify.

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Multiply $\frac{1}{1}$ and $\frac{45}{1}$ .

$\frac{45}{1}$

Divide $45$ by $1$ .

$45$

Convert to a decimal.

$45 °$

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