Precalculus Examples

$90 °$

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

$90 ° \cdot \frac{π}{180 °}$ radians

Cancel the common factor of $90$ .

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Write $90$ as a fraction with denominator $1$ .

$\frac{90}{1} \cdot \frac{π}{180}$ radians

Factor out the greatest common factor $90$ .

$\frac{90 \cdot 1}{1} \cdot \frac{π}{90 \cdot 2}$ radians

Cancel the common factor.

$\frac{90 \cdot 1}{1} \cdot \frac{π}{90 \cdot 2}$ radians

Rewrite the expression.

$\frac{1}{1} \cdot \frac{π}{2}$ radians

Multiply $\frac{1}{1}$ and $\frac{π}{2}$ .

$\frac{π}{2}$ radians

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