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Which of the following radian measures is equal to 105^(@) ? Choose 1 answer: (A) (7pi)/(12) radians (B) (11 pi)/(12) radians (C) (13 pi)/(12) radians (D) (17 pi)/(12) radians

Which of the following radian measures is equal to 105∘ 105^{\circ} ?\newlineChoose 11 answer:\newline(A) 7π12 \frac{7 \pi}{12} radians\newline(B) 11π12 \frac{11 \pi}{12} radians\newline(C) 13π12 \frac{13 \pi}{12} radians\newline(D) 17π12 \frac{17 \pi}{12} radians

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Full solution

Q. Which of the following radian measures is equal to 105∘ 105^{\circ} ?\newlineChoose 11 answer:\newline(A) 7π12 \frac{7 \pi}{12} radians\newline(B) 11π12 \frac{11 \pi}{12} radians\newline(C) 13π12 \frac{13 \pi}{12} radians\newline(D) 17π12 \frac{17 \pi}{12} radians
  1. Convert to radians: Convert degrees to radians using the conversion factor π radians180 degrees \frac{\pi \text{ radians}}{180 \text{ degrees}} .\newlineCalculation: 105∘×π180=105180π=712π 105^\circ \times \frac{\pi}{180} = \frac{105}{180} \pi = \frac{7}{12} \pi radians.
  2. Check options: Check the options to see which one matches the calculated value.\newline(A) 7π12 \frac{7\pi}{12} radians matches the calculated value.

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