Questions: convert degrees to radians. (300^circ)

convert degrees to radians. (300^circ)
Transcript text: convert degrees to radians. $300^{\circ}$
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Solution

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Solution Steps

Step 1: Understand the conversion formula

To convert degrees to radians, use the formula: \[ \text{radians} = \text{degrees} \times \left( \frac{\pi}{180} \right) \]

Step 2: Substitute the given degree value

Substitute \( 300^{\circ} \) into the formula: \[ \text{radians} = 300 \times \left( \frac{\pi}{180} \right) \]

Step 3: Simplify the expression

Simplify the multiplication: \[ \text{radians} = \frac{300\pi}{180} = \frac{5\pi}{3} \]

Final Answer

\(\boxed{\frac{5\pi}{3}}\)

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