Basic Math Examples

$a = \frac{1}{2} \cdot (4^{2} (67 (\frac{π}{180})))$

Step 1

Multiply $67$ by $\frac{π}{180}$ .

$a = \frac{1}{2} \cdot (4^{2} (67 (\frac{π}{180})))$

Step 2

Remove parentheses.

$a = \frac{1}{2} \cdot (4^{2} \cdot (67 (\frac{π}{180})))$

Step 3

Remove parentheses.

$a = \frac{1}{2} \cdot ((4^{2} \cdot 67) (\frac{π}{180}))$

Step 4

Remove parentheses.

$a = \frac{1}{2} \cdot 4^{2} \cdot (67 (\frac{π}{180}))$

Step 5

Simplify $\frac{1}{2} \cdot 4^{2} \cdot (67 (\frac{π}{180}))$ .

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Step 5.1

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

$a = \frac{1}{2} \cdot 16 \cdot (67 (\frac{π}{180}))$

Step 5.2

Cancel the common factor of $2$ .

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Step 5.2.1

Factor $2$ out of $16$ .

$a = \frac{1}{2} \cdot (2 (8)) \cdot (67 (\frac{π}{180}))$

Step 5.2.2

Cancel the common factor.

$a = \frac{1}{2} \cdot (2 \cdot 8) \cdot (67 (\frac{π}{180}))$

Step 5.2.3

Rewrite the expression.

$a = 8 \cdot (67 (\frac{π}{180}))$

Step 5.3

Combine $67$ and $\frac{π}{180}$ .

$a = 8 \cdot \frac{67 π}{180}$

Step 5.4

Cancel the common factor of $4$ .

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Step 5.4.1

Factor $4$ out of $8$ .

$a = 4 (2) \cdot \frac{67 π}{180}$

Step 5.4.2

Factor $4$ out of $180$ .

$a = 4 \cdot 2 \cdot \frac{67 π}{4 \cdot 45}$

Step 5.4.3

Cancel the common factor.

$a = 4 \cdot 2 \cdot \frac{67 π}{4 \cdot 45}$

Step 5.4.4

Rewrite the expression.

$a = 2 \cdot \frac{67 π}{45}$

Step 5.5

Combine $2$ and $\frac{67 π}{45}$ .

$a = \frac{2 (67 π)}{45}$

Step 5.6

Multiply $67$ by $2$ .

$a = \frac{134 π}{45}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$a = \frac{134 π}{45}$

Decimal Form:

$a = 9.35496479 \dots$