Convert from Degrees to Radians 196 degrees

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Trigonometry

$196 °$

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

$196 ° \cdot \frac{π}{180 °}$ radians

Cancel the common factor of $4$ .

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Factor $4$ out of $196$ .

$4 (49) \cdot \frac{π}{180}$ radians

Factor $4$ out of $180$ .

$4 \cdot 49 \cdot \frac{π}{4 \cdot 45}$ radians

Cancel the common factor.

$4 \cdot 49 \cdot \frac{π}{4 \cdot 45}$ radians

Rewrite the expression.

$49 \cdot \frac{π}{45}$ radians

Combine $49$ and $\frac{π}{45}$ .

$\frac{49 π}{45}$ radians

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