In Exercises 29–34, convert each angle in degrees to radians. Round to two decimal places. -50°

검증된 단계별 안내

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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주요 개념

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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.

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.

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.