Evaluate 144/360(2pi*13)

$\frac{144}{360} (2 π \cdot 13)$

Step 1

Cancel the common factor of $144$ and $360$ .

Factor $72$ out of $144$ .

$\frac{72 (2)}{360} \cdot (2 π \cdot 13)$

Cancel the common factors.

Factor $72$ out of $360$ .

$\frac{72 \cdot 2}{72 \cdot 5} \cdot (2 π \cdot 13)$

Cancel the common factor.

$\frac{72 \cdot 2}{72 \cdot 5} \cdot (2 π \cdot 13)$

Rewrite the expression.

$\frac{2}{5} \cdot (2 π \cdot 13)$

Step 2

Multiply $13$ by $2$ .

$\frac{2}{5} \cdot (26 π)$

Step 3

Multiply $\frac{2}{5} (26 π)$ .

Combine $26$ and $\frac{2}{5}$ .

$\frac{26 \cdot 2}{5} π$

Multiply $26$ by $2$ .

$\frac{52}{5} π$

Combine $\frac{52}{5}$ and $π$ .

$\frac{52 π}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{52 π}{5}$

Decimal Form:

$32.67256359 \dots$