Trigonometry Examples

$\frac{2 π}{360}$

Step 1

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

$(\frac{2 π}{360}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Factor $π$ out of $2 π$ .

$\frac{π \cdot 2}{360} \cdot \frac{180}{π}$

Step 2.2

Cancel the common factor.

$\frac{π \cdot 2}{360} \cdot \frac{180}{π}$

Step 2.3

Rewrite the expression.

$\frac{2}{360} \cdot 180$

Step 3

Cancel the common factor of $180$ .

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Step 3.1

Factor $180$ out of $360$ .

$\frac{2}{180 (2)} \cdot 180$

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\frac{2}{2}$

Step 4

Divide $2$ by $2$ .

$1$

Step 5

Convert to a decimal.

$1 °$