Finite Math Examples

$A = \frac{a}{360} \cdot (p r^{2})$

Step 1

Rewrite the equation as $\frac{a}{360} \cdot (p r^{2}) = A$ .

$\frac{a}{360} \cdot (p r^{2}) = A$

Step 2

Multiply $\frac{a}{360} (p r^{2})$ .

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Step 2.1

Combine $p$ and $\frac{a}{360}$ .

$\frac{p a}{360} r^{2} = A$

Step 2.2

Combine $\frac{p a}{360}$ and $r^{2}$ .

$\frac{p a r^{2}}{360} = A$

Step 3

Multiply both sides of the equation by $360$ .

$360 \frac{p a r^{2}}{360} = 360 A$

Step 4

Simplify the left side.

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Step 4.1

Cancel the common factor of $360$ .

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Step 4.1.1

Cancel the common factor.

$360 \frac{p a r^{2}}{360} = 360 A$

Step 4.1.2

Rewrite the expression.

$p a r^{2} = 360 A$

Step 5

Divide each term in $p a r^{2} = 360 A$ by $p r^{2}$ and simplify.

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Step 5.1

Divide each term in $p a r^{2} = 360 A$ by $p r^{2}$ .

$\frac{p a r^{2}}{p r^{2}} = \frac{360 A}{p r^{2}}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $p$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{p a r^{2}}{p r^{2}} = \frac{360 A}{p r^{2}}$

Step 5.2.1.2

Rewrite the expression.

$\frac{a r^{2}}{r^{2}} = \frac{360 A}{p r^{2}}$

Step 5.2.2

Cancel the common factor of $r^{2}$ .

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Step 5.2.2.1

Cancel the common factor.

$\frac{a r^{2}}{r^{2}} = \frac{360 A}{p r^{2}}$

Step 5.2.2.2

Divide $a$ by $1$ .

$a = \frac{360 A}{p r^{2}}$