Evaluate 60/360(pi*4^2)

$\frac{60}{360} (π \cdot 4^{2})$

Cancel the common factor of $60$ and $360$ .

Factor $60$ out of $60$ .

$\frac{60 (1)}{360} \cdot (π \cdot 4^{2})$

Cancel the common factors.

Factor $60$ out of $360$ .

$\frac{60 \cdot 1}{60 \cdot 6} \cdot (π \cdot 4^{2})$

Cancel the common factor.

$\frac{60 \cdot 1}{60 \cdot 6} \cdot (π \cdot 4^{2})$

Rewrite the expression.

$\frac{1}{6} \cdot (π \cdot 4^{2})$

Raise $4$ to the power of $2$ .

$\frac{1}{6} \cdot (π \cdot 16)$

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$\frac{1}{2 (3)} \cdot (π \cdot 16)$

Factor $2$ out of $π \cdot 16$ .

$\frac{1}{2 (3)} \cdot (2 (π \cdot 8))$

Cancel the common factor.

$\frac{1}{2 \cdot 3} \cdot (2 (π \cdot 8))$

Rewrite the expression.

$\frac{1}{3} \cdot (π \cdot 8)$

Combine $π$ and $\frac{1}{3}$ .

$\frac{π}{3} \cdot 8$

Combine $\frac{π}{3}$ and $8$ .

$\frac{π \cdot 8}{3}$

Move $8$ to the left of $π$ .

$\frac{8 π}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{8 π}{3}$

Decimal Form:

$8.37758040 \dots$