Precalculus Examples

$\frac{5 π}{2}$

Step 1

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

$\frac{5 π}{2 °} \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $5 π$ .

$\frac{5 (π)}{2} \cdot \frac{π}{180}$ radians

Step 2.2

Factor $5$ out of $180$ .

$\frac{5 (π)}{2} \cdot \frac{π}{5 (36)}$ radians

Step 2.3

Cancel the common factor.

$\frac{5 π}{2} \cdot \frac{π}{5 \cdot 36}$ radians

Step 2.4

Rewrite the expression.

$\frac{π}{2} \cdot \frac{π}{36}$ radians

Step 3

Multiply $\frac{π}{2}$ by $\frac{π}{36}$ .

$\frac{π π}{2 \cdot 36}$ radians

Step 4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{π^{1 + 1}}{2 \cdot 36}$ radians

Step 5

Add $1$ and $1$ .

$\frac{π^{2}}{2 \cdot 36}$ radians

Step 6

Multiply $2$ by $36$ .

$\frac{π^{2}}{72}$ radians