Convert from Degrees to Radians 178 degrees

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Trigonometry

$178 °$

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

$178 ° \cdot \frac{π}{180 °}$ radians

Cancel the common factor of $2$ .

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Factor $2$ out of $178$ .

$2 (89) \cdot \frac{π}{180}$ radians

Factor $2$ out of $180$ .

$2 \cdot 89 \cdot \frac{π}{2 \cdot 90}$ radians

Cancel the common factor.

$2 \cdot 89 \cdot \frac{π}{2 \cdot 90}$ radians

Rewrite the expression.

$89 \cdot \frac{π}{90}$ radians

Combine $89$ and $\frac{π}{90}$ .

$\frac{89 π}{90}$ radians

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