Questions: Convert -668° to radians: π

Convert -668° to radians: π
Transcript text: Convert $-668^{\circ}$ to radians: $\pi$ $\square$
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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 \(-668^{\circ}\) into the formula: \[ \text{radians} = -668 \times \left( \frac{\pi}{180} \right) \]

Step 3: Simplify the expression

Simplify the multiplication: \[ \text{radians} = -\frac{668\pi}{180} \]

Step 4: Reduce the fraction

Divide the numerator and denominator by 4 to simplify: \[ \text{radians} = -\frac{167\pi}{45} \]

Final Answer

\(\boxed{-\frac{167\pi}{45}}\)

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