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Which of the following radian measures is equal to 1,0801,080^\circ ?\newline(The number of degrees of arc in a circle is 360360^\circ. The number of radians of arc in a circle is 2π2\pi.)\newlineChoose 11 answer:\newline(A) 3π3\pi radians\newline(B) 6π6\pi radians\newline(C) 10π10\pi radians\newline(D) 12π12\pi radians

Full solution

Q. Which of the following radian measures is equal to 1,0801,080^\circ ?\newline(The number of degrees of arc in a circle is 360360^\circ. The number of radians of arc in a circle is 2π2\pi.)\newlineChoose 11 answer:\newline(A) 3π3\pi radians\newline(B) 6π6\pi radians\newline(C) 10π10\pi radians\newline(D) 12π12\pi radians
  1. Convert to Radians: To convert degrees to radians, use the formula: radians=degrees×(π180°)\text{radians} = \text{degrees} \times \left(\frac{\pi}{180°}\right).
  2. Substitute for Calculation: Substitute 1,0801,080 for degrees in the formula to find the equivalent in radians: 1,080×(π/180°)=6×π1,080 \times (\pi/180°) = 6 \times \pi.

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