Find the Quadrant of the Angle (8pi)/3

$\frac{8 π}{3}$

Convert the radian measure to degrees.

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

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

Cancel the common factor of $π$ .

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Factor $π$ out of $8 π$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $3$ .

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Factor $3$ out of $180$ .

$\frac{8}{3} \cdot (3 (60))$

Cancel the common factor.

$\frac{8}{3} \cdot (3 \cdot 60)$

Rewrite the expression.

$8 \cdot 60$

Multiply $8$ by $60$ .

$480$

Convert to a decimal.

$480 °$

For angles greater than $360 °$ , subtract $360 °$ from the angle until the angle is less than $360 °$ .

$120$

The angle is in the second quadrant.

Quadrant $2$

Find the Quadrant of the Angle (8pi)/3

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