Convert 7.26 radians to degrees. Give your answer to 2 decimal places.
Understand the Problem
The question is asking to convert an angle measured in radians to degrees and to express the result rounded to two decimal places.
Answer
$$ \text{degrees} = x \times \left( \frac{180}{\pi} \right) $$ (rounded to two decimal places)
Answer for screen readers
$$ \text{degrees} = x \times \left( \frac{180}{\pi} \right) $$ (rounded to two decimal places)
Steps to Solve
- Identify the angle in radians
Let’s say the angle is $\theta = x$ radians (replace $x$ with the actual radian value you need to convert).
- Use the conversion formula
To convert radians to degrees, we use the formula: $$ \text{degrees} = \theta \times \left( \frac{180}{\pi} \right) $$ This formula states that to convert radians to degrees, we multiply the radian measure by $\frac{180}{\pi}$.
- Calculate the degree measure
Substitute the value of $\theta$ (or $x$) into the formula: $$ \text{degrees} = x \times \left( \frac{180}{\pi} \right) $$
- Round the result
Once the calculation is complete, ensure the result is rounded to two decimal places.
$$ \text{degrees} = x \times \left( \frac{180}{\pi} \right) $$ (rounded to two decimal places)
More Information
Converting between radians and degrees is a commonly used skill in trigonometry. Understanding this conversion is essential in various fields, including physics, engineering, and computer science.
Tips
- Forgetting to use the correct conversion factor $\frac{180}{\pi}$.
- Not rounding the final answer to two decimal places when specified in the question.
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