Trigonometry Examples

$24 π = r (\frac{π}{4})$

Step 1

Rewrite the equation as $r (\frac{π}{4}) = 24 π$ .

$r (\frac{π}{4}) = 24 π$

Step 2

Combine $r$ and $\frac{π}{4}$ .

$\frac{r π}{4} = 24 π$

Step 3

Multiply both sides of the equation by $\frac{4}{π}$ .

$\frac{4}{π} \cdot \frac{r π}{4} = \frac{4}{π} (24 π)$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify $\frac{4}{π} \cdot \frac{r π}{4}$ .

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Step 4.1.1.1

Cancel the common factor of $4$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{4}{π} \cdot \frac{r π}{4} = \frac{4}{π} (24 π)$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{π} (r π) = \frac{4}{π} (24 π)$

Step 4.1.1.2

Cancel the common factor of $π$ .

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Step 4.1.1.2.1

Factor $π$ out of $r π$ .

$\frac{1}{π} (π r) = \frac{4}{π} (24 π)$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{π} (π r) = \frac{4}{π} (24 π)$

Step 4.1.1.2.3

Rewrite the expression.

$r = \frac{4}{π} (24 π)$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $\frac{4}{π} (24 π)$ .

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Step 4.2.1.1

Cancel the common factor of $π$ .

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Step 4.2.1.1.1

Factor $π$ out of $24 π$ .

$r = \frac{4}{π} (π \cdot 24)$

Step 4.2.1.1.2

Cancel the common factor.

$r = \frac{4}{π} (π \cdot 24)$

Step 4.2.1.1.3

Rewrite the expression.

$r = 4 \cdot 24$

Step 4.2.1.2

Multiply $4$ by $24$ .

$r = 96$