Convert from Radians to Degrees (2pi)/3

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Trigonometry

$\frac{2 π}{3}$

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

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

Cancel the common factor of $π$ .

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Factor $π$ out of $2 π$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $3$ .

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Factor $3$ out of $180$ .

$\frac{2}{3} \cdot (3 (60))$

Cancel the common factor.

$\frac{2}{3} \cdot (3 \cdot 60)$

Rewrite the expression.

$2 \cdot 60$

Multiply $2$ by $60$ .

$120$

Convert to a decimal.

$120 °$

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