Convert 97.00 degrees to radians. Give your answer to 2 decimal places.
Understand the Problem
The question is asking us to convert an angle measured in degrees (97.00 degrees) into radians, and then to round the result to two decimal places. The conversion formula from degrees to radians is to multiply the degree measure by π/180.
Answer
$1.69$
Answer for screen readers
The final answer is approximately $1.69$ radians.
Steps to Solve
- Identify the conversion formula
To convert degrees to radians, use the formula: $$ \text{radians} = \text{degrees} \times \frac{\pi}{180} $$
- Apply the conversion formula
Substitute the value of degrees (97.00) into the formula: $$ \text{radians} = 97.00 \times \frac{\pi}{180} $$
- Calculate the value
Now, compute the multiplication: $$ \text{radians} \approx 97.00 \times 0.0174533 $$
- Round to two decimal places
Now round the result to two decimal places.
The final answer is approximately $1.69$ radians.
More Information
This conversion is essential in mathematics, particularly in trigonometry and calculus, where radians are often more useful than degrees. The ratio $\frac{\pi}{180}$ effectively scales the degree measure to fit the radian system.
Tips
- Failing to use the conversion factor $\frac{\pi}{180}$ correctly, which can lead to incorrect results.
- Forgetting to round to the specified number of decimal places (in this case, two) after calculating.
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