Trigonometry Examples

$a = \frac{1}{2} \cdot ({(10)}^{2} (\frac{π}{2}))$

Step 1

Remove parentheses.

$a = \frac{1}{2} \cdot (10^{2} (\frac{π}{2}))$

Step 2

Simplify $\frac{1}{2} \cdot (10^{2} (\frac{π}{2}))$ .

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Step 2.1

Raise $10$ to the power of $2$ .

$a = \frac{1}{2} \cdot (100 \frac{π}{2})$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Factor $2$ out of $100 \frac{π}{2}$ .

$a = \frac{1}{2} \cdot (2 (50 \frac{π}{2}))$

Step 2.2.2

Cancel the common factor.

$a = \frac{1}{2} \cdot (2 (50 \frac{π}{2}))$

Step 2.2.3

Rewrite the expression.

$a = 50 \frac{π}{2}$

Step 2.3

Combine $50$ and $\frac{π}{2}$ .

$a = \frac{50 π}{2}$

Step 2.4

Cancel the common factor of $50$ and $2$ .

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Step 2.4.1

Factor $2$ out of $50 π$ .

$a = \frac{2 (25 π)}{2}$

Step 2.4.2

Cancel the common factors.

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Step 2.4.2.1

Factor $2$ out of $2$ .

$a = \frac{2 (25 π)}{2 (1)}$

Step 2.4.2.2

Cancel the common factor.

$a = \frac{2 (25 π)}{2 \cdot 1}$

Step 2.4.2.3

Rewrite the expression.

$a = \frac{25 π}{1}$

Step 2.4.2.4

Divide $25 π$ by $1$ .

$a = 25 π$

Step 3

The result can be shown in multiple forms.

Exact Form:

$a = 25 π$

Decimal Form:

$a = 78.53981633 \dots$