Precalculus Examples

$240 °$

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

$240 ° \cdot \frac{π}{180 °}$ radians

Cancel the common factor of $60$ .

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Write $240$ as a fraction with denominator $1$ .

$\frac{240}{1} \cdot \frac{π}{180}$ radians

Factor out the greatest common factor $60$ .

$\frac{60 \cdot 4}{1} \cdot \frac{π}{60 \cdot 3}$ radians

Cancel the common factor.

$\frac{60 \cdot 4}{1} \cdot \frac{π}{60 \cdot 3}$ radians

Rewrite the expression.

$\frac{4}{1} \cdot \frac{π}{3}$ radians

Multiply $\frac{4}{1}$ and $\frac{π}{3}$ .

$\frac{4 π}{3}$ radians

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