Convert from Radians to Degrees (3pi)/8

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Trigonometry

$\frac{3 π}{8}$

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

$(\frac{3 π}{8}) \cdot \frac{180 °}{π}$

Cancel the common factor of $π$ .

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Factor $π$ out of $3 π$ .

$\frac{π \cdot 3}{8} \cdot \frac{180}{π}$

Cancel the common factor.

$\frac{π \cdot 3}{8} \cdot \frac{180}{π}$

Rewrite the expression.

$\frac{3}{8} \cdot 180$

Cancel the common factor of $4$ .

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Factor $4$ out of $8$ .

$\frac{3}{4 (2)} \cdot 180$

Factor $4$ out of $180$ .

$\frac{3}{4 \cdot 2} \cdot (4 \cdot 45)$

Cancel the common factor.

$\frac{3}{4 \cdot 2} \cdot (4 \cdot 45)$

Rewrite the expression.

$\frac{3}{2} \cdot 45$

Combine $\frac{3}{2}$ and $45$ .

$\frac{3 \cdot 45}{2}$

Multiply $3$ by $45$ .

$\frac{135}{2}$

Convert to a decimal.

$67.5 °$

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