Convert each radian measure to degrees. Write answers to the nearest minute. See Example 2(c).

-5.01095

검증된 단계별 안내

Recall the conversion formula between radians and degrees: \(\text{degrees} = \text{radians} \times \dfrac{180}{\pi}\).

Multiply the given radian measure, \(-5.01095\), by \(\dfrac{180}{\pi}\) to convert it to degrees: \(-5.01095 \times \dfrac{180}{\pi}\).

Calculate the decimal degree value from the multiplication (do not round yet).

Separate the decimal degree value into its whole number part (degrees) and the fractional part.

Convert the fractional part of the degrees into minutes by multiplying it by 60, then round to the nearest whole minute.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

도움이 되었나요?

주요 개념

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

Radian to Degree Conversion

Radians and degrees are two units for measuring angles. To convert radians to degrees, multiply the radian measure by 180/π. This conversion is essential because degrees are often easier to interpret and are commonly used in practical applications.

Degree, Minutes, and Seconds

Degrees can be subdivided into minutes and seconds, where 1 degree equals 60 minutes and 1 minute equals 60 seconds. Writing answers to the nearest minute means converting the decimal part of degrees into minutes by multiplying by 60 and rounding appropriately.

Rounding and Precision

When converting and expressing angles, rounding to the nearest minute requires careful handling of decimal values to maintain accuracy. This ensures the final answer is precise and consistent with the required format, avoiding errors in interpretation.

Convert each radian measure to degrees. Write answers to the nearest minute. See Example 2(c).-5.01095