Precalculus Examples

$\frac{6 π}{17}$

Step 1

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

$(\frac{6 π}{17}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Factor $π$ out of $6 π$ .

$\frac{π \cdot 6}{17} \cdot \frac{180}{π}$

Step 2.2

Cancel the common factor.

$\frac{π \cdot 6}{17} \cdot \frac{180}{π}$

Step 2.3

Rewrite the expression.

$\frac{6}{17} \cdot 180$

Step 3

Combine $\frac{6}{17}$ and $180$ .

$\frac{6 \cdot 180}{17}$

Step 4

Multiply $6$ by $180$ .

$\frac{1080}{17}$

Step 5

Convert to a decimal.

$63.52941176 °$