Основы мат. анализа Примеры

$240 °$

Step 1

To convert degrees to radians, multiply by $\frac{π}{180 °}$ , since a full circle is $360 °$ or $2 π$ radians.

$240 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of $60$ .

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Step 2.1

Factor $60$ out of $240$ .

$60 (4) \cdot \frac{π}{180}$ radians

Step 2.2

Factor $60$ out of $180$ .

$60 \cdot 4 \cdot \frac{π}{60 \cdot 3}$ radians

Step 2.3

Cancel the common factor.

$60 \cdot 4 \cdot \frac{π}{60 \cdot 3}$ radians

Step 2.4

Rewrite the expression.

$4 \cdot \frac{π}{3}$ radians

Step 3

Combine $4$ and $\frac{π}{3}$ .

$\frac{4 π}{3}$ radians