Convert from Radians to Degrees (3pi)/2

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Trigonometry

$\frac{3 π}{2}$

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

$(\frac{3 π}{2}) \cdot \frac{180 °}{π}$

Cancel the common factor of $π$ .

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Factor $π$ out of $3 π$ .

$\frac{π \cdot 3}{2} \cdot \frac{180}{π}$

Cancel the common factor.

$\frac{π \cdot 3}{2} \cdot \frac{180}{π}$

Rewrite the expression.

$\frac{3}{2} \cdot 180$

Cancel the common factor of $2$ .

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Factor $2$ out of $180$ .

$\frac{3}{2} \cdot (2 (90))$

Cancel the common factor.

$\frac{3}{2} \cdot (2 \cdot 90)$

Rewrite the expression.

$3 \cdot 90$

Multiply $3$ by $90$ .

$270$

Convert to a decimal.

$270 °$

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