Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).

64.29°

검증된 단계별 안내

Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).

Substitute the given degree measure into the formula: \(64.29^\circ \times \frac{\pi}{180}\).

Multiply the degree value by \(\pi\) to get \(64.29 \times \pi\) in the numerator.

Divide the result by 180 to complete the conversion to radians.

If needed, use a calculator to approximate the value and round the result to the nearest thousandth.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

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.

Use of π in Radian Measures

Radians are often expressed in terms of π to maintain exact values. For example, 180° equals π radians. Understanding how to represent angles using π helps in simplifying and interpreting trigonometric expressions.

Rounding to the Nearest Thousandth

When converting degrees to radians, the result may be an irrational number. Rounding to the nearest thousandth means limiting the decimal places to three digits, which balances precision and simplicity for practical use.

Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).64.29°