Evaluate 1/2(40)^2(2pi)/3

$\frac{1}{2} {(40)}^{2} \frac{2 π}{3}$

Step 1

Raise $40$ to the power of $2$ .

$\frac{1}{2} \cdot (1600 \frac{2 π}{3})$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $1600 \frac{2 π}{3}$ .

$\frac{1}{2} \cdot (2 (800 \frac{2 π}{3}))$

Cancel the common factor.

$\frac{1}{2} \cdot (2 (800 \frac{2 π}{3}))$

Rewrite the expression.

$800 \frac{2 π}{3}$

$800 \frac{2 π}{3}$

Step 3

Combine $800$ and $\frac{2 π}{3}$ .

$\frac{800 (2 π)}{3}$

Step 4

Multiply $2$ by $800$ .

$\frac{1600 π}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1600 π}{3}$

Decimal Form:

$1675.51608191 \dots$

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