Precalculus Examples

$- \frac{13 π}{18}$

Step 1

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

$(- \frac{13 π}{18}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Move the leading negative in $- \frac{13 π}{18}$ into the numerator.

$\frac{- 13 π}{18} \cdot \frac{180}{π}$

Step 2.2

Factor $π$ out of $- 13 π$ .

$\frac{π \cdot - 13}{18} \cdot \frac{180}{π}$

Step 2.3

Cancel the common factor.

$\frac{π \cdot - 13}{18} \cdot \frac{180}{π}$

Step 2.4

Rewrite the expression.

$\frac{- 13}{18} \cdot 180$

Step 3

Cancel the common factor of $18$ .

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Step 3.1

Factor $18$ out of $180$ .

$\frac{- 13}{18} \cdot (18 (10))$

Step 3.2

Cancel the common factor.

$\frac{- 13}{18} \cdot (18 \cdot 10)$

Step 3.3

Rewrite the expression.

$- 13 \cdot 10$

Step 4

Multiply $- 13$ by $10$ .

$- 130$

Step 5

Convert to a decimal.

$- 130 °$