Trigonometry Examples

$\frac{3 π}{20}$

Step 1

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

$(\frac{3 π}{20}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Factor $π$ out of $3 π$ .

$\frac{π \cdot 3}{20} \cdot \frac{180}{π}$

Step 2.2

Cancel the common factor.

$\frac{π \cdot 3}{20} \cdot \frac{180}{π}$

Step 2.3

Rewrite the expression.

$\frac{3}{20} \cdot 180$

Step 3

Cancel the common factor of $20$ .

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Step 3.1

Factor $20$ out of $180$ .

$\frac{3}{20} \cdot (20 (9))$

Step 3.2

Cancel the common factor.

$\frac{3}{20} \cdot (20 \cdot 9)$

Step 3.3

Rewrite the expression.

$3 \cdot 9$

Step 4

Multiply $3$ by $9$ .

$27$

Step 5

Convert to a decimal.

$27 °$