Trigonometry Examples

$\frac{11 π}{2}$

Step 1

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

$(\frac{11 π}{2}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Factor $π$ out of $11 π$ .

$\frac{π \cdot 11}{2} \cdot \frac{180}{π}$

Step 2.2

Cancel the common factor.

$\frac{π \cdot 11}{2} \cdot \frac{180}{π}$

Step 2.3

Rewrite the expression.

$\frac{11}{2} \cdot 180$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $180$ .

$\frac{11}{2} \cdot (2 (90))$

Step 3.2

Cancel the common factor.

$\frac{11}{2} \cdot (2 \cdot 90)$

Step 3.3

Rewrite the expression.

$11 \cdot 90$

Step 4

Multiply $11$ by $90$ .

$990$

Step 5

Convert to a decimal.

$990 °$