Convert from Radians to Degrees (4pi)/7

$\frac{4 π}{7}$

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

$(\frac{4 π}{7}) \cdot \frac{180 °}{π}$

Cancel the common factor of $π$ .

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Factor $π$ out of $4 π$ .

$\frac{π \cdot 4}{7} \cdot \frac{180}{π}$

Cancel the common factor.

$\frac{π \cdot 4}{7} \cdot \frac{180}{π}$

Rewrite the expression.

$\frac{4}{7} \cdot 180$

Combine $\frac{4}{7}$ and $180$ .

$\frac{4 \cdot 180}{7}$

Multiply $4$ by $180$ .

$\frac{720}{7}$

Convert to a decimal.

$102.85714285 °$

Convert from Radians to Degrees (4pi)/7

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