Evaluate 1/2(4)^2pi/2

$\frac{1}{2} {(4)}^{2} \frac{π}{2}$

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

$\frac{1}{2} \cdot (16 \frac{π}{2})$

Cancel the common factor of $2$ .

Factor $2$ out of $16 \frac{π}{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

$8 \frac{π}{2}$

$8 \frac{π}{2}$

Combine $8$ and $\frac{π}{2}$ .

$\frac{8 π}{2}$

Cancel the common factor of $8$ and $2$ .

Factor $2$ out of $8 π$ .

$\frac{2 (4 π)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 (4 π)}{2 (1)}$

Cancel the common factor.

$\frac{2 (4 π)}{2 \cdot 1}$

Rewrite the expression.

$\frac{4 π}{1}$

Divide $4 π$ by $1$ .

$4 π$

$4 π$

$4 π$

The result can be shown in multiple forms.

Exact Form:

$4 π$

Decimal Form:

$12.56637061 \dots$

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