Convert from Radians to Degrees (7pi)/12

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Trigonometry

$\frac{7 π}{12}$

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

$(\frac{7 π}{12}) \cdot \frac{180 °}{π}$

Cancel the common factor of $π$ .

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Factor $π$ out of $7 π$ .

$\frac{π \cdot 7}{12} \cdot \frac{180}{π}$

Cancel the common factor.

$\frac{π \cdot 7}{12} \cdot \frac{180}{π}$

Rewrite the expression.

$\frac{7}{12} \cdot 180$

Cancel the common factor of $12$ .

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Factor $12$ out of $180$ .

$\frac{7}{12} \cdot (12 (15))$

Cancel the common factor.

$\frac{7}{12} \cdot (12 \cdot 15)$

Rewrite the expression.

$7 \cdot 15$

Multiply $7$ by $15$ .

$105$

Convert to a decimal.

$105 °$

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