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How many radians is 60∘60^\circ?\newlineChoices:\newline(A) π/4\pi /4 radians\newline(B) π/2\pi /2 radians\newline(C) π/6\pi /6 radians\newline(D) π/3\pi /3 radians

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Full solution

Q. How many radians is 60∘60^\circ?\newlineChoices:\newline(A) π/4\pi /4 radians\newline(B) π/2\pi /2 radians\newline(C) π/6\pi /6 radians\newline(D) π/3\pi /3 radians
  1. Convert to radians: Convert degrees to radians using the formula: radians=degrees×(π/180°)\text{radians} = \text{degrees} \times (\pi/180°).
  2. Substitute 6060°: Substitute 60°60° into the formula: radians = 60°×(π/180°)=(60/180)×π=(1/3)×π=π/360° \times (\pi/180°) = (60/180) \times \pi = (1/3) \times \pi = \pi/3 radians.
  3. Choose correct option: Choose the correct option that matches π/3\pi/3 radians.

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