Pre-Algebra Examples

 $\begin{array}{r} r = & π \end{array}$

Step 1

The area of a circle is equal to Pi $π$ times the radius $r$ squared.

$π \cdot {(r a d i u s)}^{2}$

Step 2

Substitute in the value of the radius $r = π$ into the formula for the area of a circle. Pi $π$ is approximately equal to $3.14$ .

$π \cdot π^{2}$

Step 3

Multiply $π$ by $π^{2}$ by adding the exponents.

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Step 3.1

Multiply $π$ by $π^{2}$ .

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Step 3.1.1

Raise $π$ to the power of $1$ .

$π^{1} \cdot π^{2}$

Step 3.1.2

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

$π^{1 + 2}$

Step 3.2

Add $1$ and $2$ .

$π^{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$π^{3}$

Decimal Form:

$31.00627668 \dots$