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Which of the following radian measures is equal to 30^(@) ? Choose 1 answer: (A) (pi)/(3) radians (B) (pi)/(6) radians (C) (pi)/(8) radians (D) pi radians

Which of the following radian measures is equal to 30∘ 30^{\circ} ?\newlineChoose 11 answer:\newline(A) π3 \frac{\pi}{3} radians\newline(B) π6 \frac{\pi}{6} radians\newline(C) π8 \frac{\pi}{8} radians\newline(D) π \pi radians

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Full solution

Q. Which of the following radian measures is equal to 30∘ 30^{\circ} ?\newlineChoose 11 answer:\newline(A) π3 \frac{\pi}{3} radians\newline(B) π6 \frac{\pi}{6} radians\newline(C) π8 \frac{\pi}{8} radians\newline(D) π \pi radians
  1. Identify Formula: Identify the formula to convert degrees to radians. The formula is radians=degrees×(π180°)\text{radians} = \text{degrees} \times \left(\frac{\pi}{180°}\right).
  2. Convert Degrees to Radians: Convert 3030 degrees into radians using the formula. By substituting 3030 degrees into the formula, we get 30∘×(π/180∘)=π/630^\circ \times (\pi/180^\circ) = \pi/6 radians.
  3. Match Result: Match the result with the given options. The correct option that represents π6\frac{\pi}{6} radians is (B).

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