Trigonometry Examples

$\frac{7 p}{2}$

Step 1

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

$(\frac{7 p}{2}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $2$ .

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Factor $2$ out of $180$ .

$\frac{7 p}{2} \cdot \frac{2 (90)}{π}$

Cancel the common factor.

$\frac{7 p}{2} \cdot \frac{2 \cdot 90}{π}$

Rewrite the expression.

$7 p \cdot \frac{90}{π}$

Step 3

Combine $7$ and $\frac{90}{π}$ .

$p \cdot \frac{7 \cdot 90}{π}$

Step 4

Multiply $7$ by $90$ .

$p \cdot \frac{630}{π}$

Step 5

Combine $p$ and $\frac{630}{π}$ .

$\frac{p \cdot 630}{π}$

Step 6

Move $630$ to the left of $p$ .

$\frac{630 p}{π}$

Step 7

$π$ is approximately equal to $3.14159265$ .

$\frac{630 p}{3.14159265}$

Step 8

Convert to a decimal.