Evaluate 2pi*360/(16pi)

$2 π \cdot \frac{360}{16 π}$

Cancel the common factor of $2 π$ .

Factor $2 π$ out of $16 π$ .

$2 π \cdot \frac{360}{2 π (8)}$

Cancel the common factor.

$2 π \cdot \frac{360}{2 π \cdot 8}$

Rewrite the expression.

$\frac{360}{8}$

$\frac{360}{8}$

Divide $360$ by $8$ .

$45$

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