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Convert 73∘ to radians.Give your answer accurate to 3 significant figures with no units.

Question

Convert 73° to radians.

Give your answer accurate to 3 significant figures with no units.

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Solution

1. Break Down the Problem

To convert degrees to radians, we need to use the conversion formula: radians=degrees×π180 \text{radians} = \text{degrees} \times \frac{\pi}{180}

2. Relevant Concepts

Here, we have:

  • Degrees = 73°
  • Conversion factor = π180\frac{\pi}{180}

3. Analysis and Detail

Using the formula, we substitute in the given degree measurement:

radians=73×π180 \text{radians} = 73 \times \frac{\pi}{180}

Calculating this step-by-step:

  1. Calculate 73π180\frac{73 \pi}{180}.
  2. Use the value of π3.14159\pi \approx 3.14159.

So, we compute: 73×3.14159180229.956071801.2744 \frac{73 \times 3.14159}{180} \approx \frac{229.95607}{180} \approx 1.2744

4. Verify and Summarize

We need to round our result to 3 significant figures:

Thus, 1.27441.2744 rounded to 3 significant figures is 1.271.27.

Final Answer

The final answer is: 1.27 1.27

This problem has been solved

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