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170° is equal to                                   rad.Group of answer choices2.97 rad5.93 rad534 rad9740 rad

Question

170° is equal to                                   rad.

Group of answer choices

  • 2.97 rad
  • 5.93 rad
  • 534 rad
  • 9740 rad
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Solution

1. Break Down the Problem

To convert degrees to radians, use the conversion factor where π \pi radians is equal to 180 180^\circ .

2. Relevant Concepts

The formula to convert degrees to radians is given by: radians=degrees×(πradians180) \text{radians} = \text{degrees} \times \left( \frac{\pi \, \text{radians}}{180^\circ} \right)

3. Analysis and Detail

Applying the conversion method: radians=170×(π180) \text{radians} = 170^\circ \times \left( \frac{\pi}{180} \right) Calculating the radians: radians=170×(3.14159180)2.96706 \text{radians} = 170 \times \left( \frac{3.14159}{180} \right) \approx 2.96706

4. Verify and Summarize

Upon verification, 2.96706 2.96706 rounds to 2.97rad 2.97 \, \text{rad} . This matches one of the provided options.

Final Answer

Therefore, 170 170^\circ is approximately equal to 2.97rad 2.97 \, \text{rad} .

This problem has been solved

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