Basic Math Examples

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\begin{matrix} r = & \frac{1}{6} \end{matrix}

$\begin{array}{r} r = & \frac{1}{6} \end{array}$

Step 1

The area of a circle is equal to Pi

π

$π$ times the radius

r

$r$ squared.

π \cdot {(r a d i u s)}^{2}

$π \cdot {(r a d i u s)}^{2}$

Step 2

Substitute in the value of the radius

r = \frac{1}{6}

$r = \frac{1}{6}$ into the formula for the area of a circle. Pi

π

$π$ is approximately equal to

3.14

$3.14$ .

π \cdot {(\frac{1}{6})}^{2}

$π \cdot {(\frac{1}{6})}^{2}$

Step 3

Simplify the expression.

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Step 3.1

Apply the product rule to

\frac{1}{6}

$\frac{1}{6}$ .

π \cdot \frac{1^{2}}{6^{2}}

$π \cdot \frac{1^{2}}{6^{2}}$

Step 3.2

One to any power is one.

π \cdot \frac{1}{6^{2}}

$π \cdot \frac{1}{6^{2}}$

Step 3.3

Raise

6

$6$ to the power of

2

$2$ .

π \cdot \frac{1}{36}

$π \cdot \frac{1}{36}$

π \cdot \frac{1}{36}

$π \cdot \frac{1}{36}$

Step 4

Combine

π

$π$ and

\frac{1}{36}

$\frac{1}{36}$ .

\frac{π}{36}

$\frac{π}{36}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{π}{36}

$\frac{π}{36}$

Decimal Form:

0.08726646 \dots

$0.08726646 \dots$