Calculus Examples

$\frac{π}{4} \cdot (2 π)$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $4$ .

$\frac{π}{2 (2)} \cdot (2 π)$

Step 1.2

Factor $2$ out of $2 π$ .

$\frac{π}{2 (2)} \cdot (2 (π))$

Step 1.3

Cancel the common factor.

$\frac{π}{2 \cdot 2} \cdot (2 π)$

Step 1.4

Rewrite the expression.

$\frac{π}{2} \cdot π$

Step 2

Combine $\frac{π}{2}$ and $π$ .

$\frac{π π}{2}$

Step 3

Raise $π$ to the power of $1$ .

$\frac{π^{1} π}{2}$

Step 4

Raise $π$ to the power of $1$ .

$\frac{π^{1} π^{1}}{2}$

Step 5

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{π^{1 + 1}}{2}$

Step 6

Add $1$ and $1$ .

$\frac{π^{2}}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{π^{2}}{2}$

Decimal Form:

$4.93480220 \dots$