Evaluate 40/360*pi(12)^2

$\frac{40}{360} \cdot π {(12)}^{2}$

Cancel the common factor of $40$ and $360$ .

Factor $40$ out of $40$ .

$\frac{40 (1)}{360} \cdot (π {(12)}^{2})$

Cancel the common factors.

Factor $40$ out of $360$ .

$\frac{40 \cdot 1}{40 \cdot 9} \cdot (π {(12)}^{2})$

Cancel the common factor.

$\frac{40 \cdot 1}{40 \cdot 9} \cdot (π {(12)}^{2})$

Rewrite the expression.

$\frac{1}{9} \cdot (π {(12)}^{2})$

Raise $12$ to the power of $2$ .

$\frac{1}{9} \cdot (π \cdot 144)$

Cancel the common factor of $9$ .

Factor $9$ out of $π \cdot 144$ .

$\frac{1}{9} \cdot (9 (π \cdot 16))$

Cancel the common factor.

$\frac{1}{9} \cdot (9 (π \cdot 16))$

Rewrite the expression.

$π \cdot 16$

Move $16$ to the left of $π$ .

$16 π$

The result can be shown in multiple forms.

Exact Form:

$16 π$

Decimal Form:

$50.26548245 \dots$