Algebra Examples

$A = \frac{1}{2} {(3)}^{2} (\frac{7 π}{8})$

Step 1

Remove parentheses.

$A = \frac{1}{2} \cdot (3^{2} (\frac{7 π}{8}))$

Step 2

Remove parentheses.

$A = \frac{1}{2} \cdot ({(3)}^{2} (\frac{7 π}{8}))$

Step 3

Simplify $\frac{1}{2} \cdot ({(3)}^{2} (\frac{7 π}{8}))$ .

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Step 3.1

Raise $3$ to the power of $2$ .

$A = \frac{1}{2} \cdot (9 \frac{7 π}{8})$

Step 3.2

Multiply $9 \frac{7 π}{8}$ .

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Step 3.2.1

Combine $9$ and $\frac{7 π}{8}$ .

$A = \frac{1}{2} \cdot \frac{9 (7 π)}{8}$

Step 3.2.2

Multiply $7$ by $9$ .

$A = \frac{1}{2} \cdot \frac{63 π}{8}$

Step 3.3

Multiply $\frac{1}{2} \cdot \frac{63 π}{8}$ .

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Step 3.3.1

Multiply $\frac{1}{2}$ by $\frac{63 π}{8}$ .

$A = \frac{63 π}{2 \cdot 8}$

Step 3.3.2

Multiply $2$ by $8$ .

$A = \frac{63 π}{16}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$A = \frac{63 π}{16}$

Decimal Form:

$A = 12.37002107 \dots$