교과서 질문
Convert each radian measure to degrees. See Examples 2(a) and 2(b). 7π/4
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1. Measuring Angles
Radians
객관식
What is converted to radians?
A
B
C
D
검증된 단계별 안내1
Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
Substitute the given angle in degrees (270°) into the formula: \(270 \times \frac{\pi}{180}\).
Simplify the fraction \(\frac{270}{180}\) by dividing numerator and denominator by their greatest common divisor.
Express the simplified fraction multiplied by \(\pi\) to write the angle in radians.
Write the final answer as a fraction of \(\pi\), for example, \(\frac{3\pi}{2}\), without calculating the decimal value.
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