Convert from Radians to Degrees -(5pi)/4

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Trigonometry

$- \frac{5 π}{4}$

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

$(- \frac{5 π}{4}) \cdot \frac{180 °}{π}$

Cancel the common factor of $π$ .

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Move the leading negative in $- \frac{5 π}{4}$ into the numerator.

$\frac{- 5 π}{4} \cdot \frac{180}{π}$

Factor $π$ out of $- 5 π$ .

$\frac{π \cdot - 5}{4} \cdot \frac{180}{π}$

Cancel the common factor.

$\frac{π \cdot - 5}{4} \cdot \frac{180}{π}$

Rewrite the expression.

$\frac{- 5}{4} \cdot 180$

Cancel the common factor of $4$ .

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Factor $4$ out of $180$ .

$\frac{- 5}{4} \cdot (4 (45))$

Cancel the common factor.

$\frac{- 5}{4} \cdot (4 \cdot 45)$

Rewrite the expression.

$- 5 \cdot 45$

Multiply $- 5$ by $45$ .

$- 225$

Convert to a decimal.

$- 225 °$

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