Trigonometry Examples

$3 \cdot \frac{180}{π}$

Step 1

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

$(3 \cdot \frac{180}{π}) \cdot \frac{180 °}{π}$

Step 2

Multiply $3 \frac{180}{π}$ .

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Step 2.1

Combine $3$ and $\frac{180}{π}$ .

$\frac{3 \cdot 180}{π} \cdot \frac{180}{π}$

Step 2.2

Multiply $3$ by $180$ .

$\frac{540}{π} \cdot \frac{180}{π}$

Step 3

Multiply $\frac{540}{π} \cdot \frac{180}{π}$ .

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Step 3.1

Multiply $\frac{540}{π}$ by $\frac{180}{π}$ .

$\frac{540 \cdot 180}{π π}$

Step 3.2

Multiply $540$ by $180$ .

$\frac{97200}{π π}$

Step 3.3

Raise $π$ to the power of $1$ .

$\frac{97200}{π^{1} π}$

Step 3.4

Raise $π$ to the power of $1$ .

$\frac{97200}{π^{1} π^{1}}$

Step 3.5

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

$\frac{97200}{π^{1 + 1}}$

Step 3.6

Add $1$ and $1$ .

$\frac{97200}{π^{2}}$

Step 4

$π$ is approximately equal to $3.14159265$ .

$\frac{97200}{{(3.14159265)}^{2}}$

Step 5

Convert to a decimal.

$9848.41905003 °$