Trigonometry Examples

$\frac{8}{9} π$

Step 1

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

$(\frac{8}{9} \cdot π) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $π$ .

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Step 2.1

Factor $π$ out of $\frac{8}{9} \cdot π$ .

$π \cdot \frac{8}{9} \cdot \frac{180}{π}$

Step 2.2

Cancel the common factor.

$π \cdot \frac{8}{9} \cdot \frac{180}{π}$

Step 2.3

Rewrite the expression.

$\frac{8}{9} \cdot 180$

Step 3

Combine $\frac{8}{9}$ and $180$ .

$\frac{8 \cdot 180}{9}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $8$ by $180$ .

$\frac{1440}{9}$

Step 4.2

Divide $1440$ by $9$ .

$160$

Step 5

Convert to a decimal.

$160 °$