Textbook Question
In Exercises 21–28, convert each angle in radians to degrees.2𝜋3
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1. Measuring Angles
Radians
2:13 minutesProblem 32
Textbook Question
In Exercises 29–34, convert each angle in degrees to radians. Round to two decimal places. -50°
Verified step by step guidance1
Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
Substitute the given angle in degrees into the formula: \(-50^\circ \times \frac{\pi}{180}\).
Simplify the fraction \(\frac{-50}{180}\) to its lowest terms to make the calculation easier.
Multiply the simplified fraction by \(\pi\) to express the angle in radians.
If needed, use the approximate value of \(\pi \approx 3.1416\) to calculate a decimal value and then round the result to two decimal places.
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Video duration:
2mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Degree to Radian Conversion
Degrees and radians are two units for measuring angles. To convert degrees to radians, multiply the degree measure by π/180. This conversion is essential because radians are the standard unit in many trigonometric calculations.
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Converting between Degrees & Radians
Understanding Negative Angles
Negative angles represent rotation in the clockwise direction, opposite to positive angles. When converting, the sign is preserved, indicating direction, which is important for correctly interpreting the angle's position.
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Rounding Decimal Values
After conversion, the radian value may be an irrational number. Rounding to two decimal places simplifies the result for practical use, balancing precision and readability in answers.
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