Finite Math Examples

$\frac{25}{4}$

Step 1

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

$(\frac{25}{4}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $180$ .

$\frac{25}{4} \cdot \frac{4 (45)}{π}$

Step 2.2

Cancel the common factor.

$\frac{25}{4} \cdot \frac{4 \cdot 45}{π}$

Step 2.3

Rewrite the expression.

$25 \cdot \frac{45}{π}$

Step 3

Combine $25$ and $\frac{45}{π}$ .

$\frac{25 \cdot 45}{π}$

Step 4

Multiply $25$ by $45$ .

$\frac{1125}{π}$

Step 5

$π$ is approximately equal to $3.14159265$ .

$\frac{1125}{3.14159265}$

Step 6

Convert to a decimal.

$358.09862195 °$