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How many radians is 9090^\circ?\newlineChoices:\newline(A) π/6\pi /6 radians\newline(B) π/3\pi /3 radians\newline(C) π/2\pi /2 radians\newline(D) π/4\pi /4 radians

Full solution

Q. How many radians is 9090^\circ?\newlineChoices:\newline(A) π/6\pi /6 radians\newline(B) π/3\pi /3 radians\newline(C) π/2\pi /2 radians\newline(D) π/4\pi /4 radians
  1. Convert to Radians Formula: We know that π\pi radians is equal to 180°180°, so to convert degrees to radians, we use the formula: radians=degrees×(π/180°)\text{radians} = \text{degrees} \times (\pi/180°).
  2. Convert 9090° to Radians: Now, let's convert 90°90° to radians using the formula: 90°×(π/180°)=π/290° \times (\pi/180°) = \pi/2 radians.
  3. Match with Choices: So, 90°90° is π/2\pi/2 radians. Let's match this with the given choices.

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