Pre-Algebra Examples

 $\begin{array}{r} r = & \frac{41}{2} \end{array}$

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 $r = \frac{41}{2}$ into the formula for the area of a circle. Pi $π$ is approximately equal to $3.14$ .

$π \cdot {(\frac{41}{2})}^{2}$

Step 3

Simplify the expression.

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Step 3.1

Apply the product rule to $\frac{41}{2}$ .

$π \cdot \frac{41^{2}}{2^{2}}$

Step 3.2

Raise $41$ to the power of $2$ .

$π \cdot \frac{1681}{2^{2}}$

Step 3.3

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

$π \cdot \frac{1681}{4}$

Step 4

Combine $π$ and $\frac{1681}{4}$ .

$\frac{π \cdot 1681}{4}$

Step 5

Move $1681$ to the left of $π$ .

$\frac{1681 π}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1681 π}{4}$

Decimal Form:

$1320.25431267 \dots$