Evaluate 1/2(4)^2(3pi)/4

$\frac{1}{2} {(4)}^{2} \frac{3 π}{4}$

Step 1

Cancel the common factor of $4$ .

Factor $4$ out of ${(4)}^{2}$ .

$\frac{1}{2} \cdot (4 \cdot 4 \frac{3 π}{4})$

Cancel the common factor.

$\frac{1}{2} \cdot (4 \cdot 4 \frac{3 π}{4})$

Rewrite the expression.

$\frac{1}{2} \cdot (4 (3 π))$

$\frac{1}{2} \cdot (4 (3 π))$

Step 2

Multiply $3$ by $4$ .

$\frac{1}{2} \cdot (12 π)$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $12 π$ .

$\frac{1}{2} \cdot (2 (6 π))$

Cancel the common factor.

$\frac{1}{2} \cdot (2 (6 π))$

Rewrite the expression.

$6 π$

$6 π$

Step 4

The result can be shown in multiple forms.

Exact Form:

$6 π$

Decimal Form:

$18.84955592 \dots$

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