Pre-Algebra Examples

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\begin{array}{r} r = & 6 \end{array}

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

Step 1

The circumference of a circle is equal to Pi

π

$π$ times the diameter

d

$d$ .

π \cdot (d i a m e t e r)

$π \cdot (d i a m e t e r)$

Step 2

Since the diameter

d

$d$ is equal to

2

$2$ times the radius

r

$r$ , the formula for circumference using radius is

2 π r

$2 π r$ .

2 π \cdot (r a d i u s)

$2 π \cdot (r a d i u s)$

Step 3

Substitute the value of the radius

r = 6

$r = 6$ into the formula for the area of a circle. Pi

π

$π$ is approximately equal to

3.14

$3.14$ .

2 \cdot π \cdot 6

$2 \cdot π \cdot 6$

Step 4

Multiply

6

$6$ by

2

$2$ .

12 π

$12 π$

Step 5

The result can be shown in multiple forms.

Exact Form:

12 π

$12 π$

Decimal Form:

37.69911184 \dots

$37.69911184 \dots$

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