Trigonometry Examples

$\frac{55}{18} p$

Step 1

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

$(\frac{55}{18} p) \cdot \frac{180 °}{π}$

Step 2

Combine $\frac{55}{18}$ and $p$ .

$\frac{55 p}{18} \cdot \frac{180}{π}$

Step 3

Cancel the common factor of $18$ .

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Step 3.1

Factor $18$ out of $180$ .

$\frac{55 p}{18} \cdot \frac{18 (10)}{π}$

Step 3.2

Cancel the common factor.

$\frac{55 p}{18} \cdot \frac{18 \cdot 10}{π}$

Step 3.3

Rewrite the expression.

$55 p \cdot \frac{10}{π}$

Step 4

Combine $55$ and $\frac{10}{π}$ .

$p \cdot \frac{55 \cdot 10}{π}$

Step 5

Multiply $55$ by $10$ .

$p \cdot \frac{550}{π}$

Step 6

Combine $p$ and $\frac{550}{π}$ .

$\frac{p \cdot 550}{π}$

Step 7

Move $550$ to the left of $p$ .

$\frac{550 p}{π}$

Step 8

$π$ is approximately equal to $3.14159265$ .

$\frac{550 p}{3.14159265}$

Step 9

Convert to a decimal.