Convert from Radians to Degrees pi/8 radianes

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Trigonometry

$\frac{π}{8}$ radianes

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

$(\frac{π}{8}) \cdot \frac{180 °}{π}$

Cancel the common factor of $π$ .

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Cancel the common factor.

$\frac{π}{8} \cdot \frac{180}{π}$

Rewrite the expression.

$\frac{1}{8} \cdot 180$

Cancel the common factor of $4$ .

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Factor $4$ out of $8$ .

$\frac{1}{4 (2)} \cdot 180$

Factor $4$ out of $180$ .

$\frac{1}{4 \cdot 2} \cdot (4 \cdot 45)$

Cancel the common factor.

$\frac{1}{4 \cdot 2} \cdot (4 \cdot 45)$

Rewrite the expression.

$\frac{1}{2} \cdot 45$

Combine $\frac{1}{2}$ and $45$ .

$\frac{45}{2}$

Convert to a decimal.

$22.5 °$

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