Find the Quadrant of the Angle pi/5

$\frac{π}{5}$

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.

$(\frac{π}{5}) \cdot \frac{180 °}{π}$

Cancel the common factor of $π$ .

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Cancel the common factor.

$\frac{π}{5} \cdot \frac{180}{π}$

Rewrite the expression.

$\frac{1}{5} \cdot 180$

Cancel the common factor of $5$ .

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Factor $5$ out of $180$ .

$\frac{1}{5} \cdot (5 (36))$

Cancel the common factor.

$\frac{1}{5} \cdot (5 \cdot 36)$

Rewrite the expression.

$36$

Convert to a decimal.

$36 °$

The angle is in the first quadrant.

Quadrant $1$

Find the Quadrant of the Angle pi/5

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