Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). 90°

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: \(90^\circ \times \frac{\pi}{180}\).

Simplify the fraction \(\frac{90}{180}\) by dividing numerator and denominator by their greatest common divisor, which is 90.

After simplification, express the result as a multiple of \(\pi\).

Write the final answer in the form \(\frac{\pi}{2}\) radians.

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.

Degree and Radian Measure

Degrees and radians are two units for measuring angles. A full circle is 360 degrees or 2π radians. Understanding the relationship between these units is essential for converting angles from degrees to radians.

Conversion Formula Between Degrees and Radians

To convert degrees to radians, multiply the degree measure by π/180. This formula comes from the fact that 180 degrees equals π radians, allowing a direct proportional conversion.

Expressing Answers as Multiples of π

When converting to radians, answers are often left in terms of π to maintain exact values. This avoids decimal approximations and preserves the precision of the angle measurement.