Precalculus Examples

$45$

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

$45 ° \cdot \frac{π}{180 °}$ radians

Cancel the common factor of $45$ .

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Factor $45$ out of $180$ .

$45 \cdot \frac{π}{45 (4)}$ radians

Cancel the common factor.

$45 \cdot \frac{π}{45 \cdot 4}$ radians

Rewrite the expression.

$\frac{π}{4}$ radians

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