Pre-Algebra Examples

 $\begin{array}{r} r = & \frac{22}{7} \end{array}$

Step 1

The surface area of a sphere is equal to $4$ times Pi $π$ times the radius squared.

$4 π \cdot {(r a d i u s)}^{2}$

Step 2

Substitute the value of the radius $r = \frac{22}{7}$ into the formula to find the surface area of the sphere. Pi $π$ is approximately equal to $3.14$ .

$4 \cdot π \cdot {(\frac{22}{7})}^{2}$

Step 3

Apply the product rule to $\frac{22}{7}$ .

$4 π \cdot \frac{22^{2}}{7^{2}}$

Step 4

Raise $22$ to the power of $2$ .

$4 π \cdot \frac{484}{7^{2}}$

Step 5

Raise $7$ to the power of $2$ .

$4 π \cdot \frac{484}{49}$

Step 6

Multiply $4 π \frac{484}{49}$ .

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Step 6.1

Combine $\frac{484}{49}$ and $4$ .

$\frac{484 \cdot 4}{49} π$

Step 6.2

Multiply $484$ by $4$ .

$\frac{1936}{49} π$

Step 6.3

Combine $\frac{1936}{49}$ and $π$ .

$\frac{1936 π}{49}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{1936 π}{49}$

Decimal Form:

$124.12496688 \dots$