Precalculus Examples

$3 (305)$

Step 1

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

Step 2

Multiply $3$ by $305$ .

$915 \cdot \frac{π}{180}$ radians

Step 3

Cancel the common factor of $15$ .

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Step 3.1

Factor $15$ out of $915$ .

$15 (61) \cdot \frac{π}{180}$ radians

Step 3.2

Factor $15$ out of $180$ .

$15 \cdot 61 \cdot \frac{π}{15 \cdot 12}$ radians

Step 3.3

Cancel the common factor.

$15 \cdot 61 \cdot \frac{π}{15 \cdot 12}$ radians

Step 3.4

Rewrite the expression.

$61 \cdot \frac{π}{12}$ radians

Step 4

Combine $61$ and $\frac{π}{12}$ .

$\frac{61 π}{12}$ radians