Trigonometry Examples

$\frac{π}{4} \cdot \frac{180}{π}$

Step 1

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

$(\frac{π}{4} \cdot \frac{180}{π}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Cancel the common factor.

$\frac{π}{4} \cdot \frac{180}{π} \cdot \frac{180}{π}$

Step 2.2

Rewrite the expression.

$\frac{1}{4} \cdot 180 \cdot \frac{180}{π}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Factor $4$ out of $180$ .

$\frac{1}{4} \cdot (4 (45)) \cdot \frac{180}{π}$

Step 3.2

Cancel the common factor.

$\frac{1}{4} \cdot (4 \cdot 45) \cdot \frac{180}{π}$

Step 3.3

Rewrite the expression.

$45 \cdot \frac{180}{π}$

Step 4

Multiply $45 \frac{180}{π}$ .

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Step 4.1

Combine $45$ and $\frac{180}{π}$ .

$\frac{45 \cdot 180}{π}$

Step 4.2

Multiply $45$ by $180$ .

$\frac{8100}{π}$

Step 5

$π$ is approximately equal to $3.14159265$ .

$\frac{8100}{3.14159265}$

Step 6

Convert to a decimal.

$2578.31007808 °$