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Which of the following radian measures is equal to 
360^(@) ?
(The number of degrees of arc in a circle is 360 . The number of radians of arc in a circle is 
2pi.)
Choose 1 answer:
A) 
(pi)/(2) radians
(B) 
pi radians
(C) 
2pi radians
(D) 
3pi radians

Which of the following radian measures is equal to 360 360^{\circ} ?\newline(The number of degrees of arc in a circle is 360360 . The number of radians of arc in a circle is 2π 2 \pi .)\newlineChoose 11 answer:\newline(A) π2 \frac{\pi}{2} radians\newline(B) π \pi radians\newline(C) 2π 2 \pi radians\newlineD) 3π 3 \pi radians

Full solution

Q. Which of the following radian measures is equal to 360 360^{\circ} ?\newline(The number of degrees of arc in a circle is 360360 . The number of radians of arc in a circle is 2π 2 \pi .)\newlineChoose 11 answer:\newline(A) π2 \frac{\pi}{2} radians\newline(B) π \pi radians\newline(C) 2π 2 \pi radians\newlineD) 3π 3 \pi radians
  1. Understanding degrees and radians: Understand the relationship between degrees and radians. We know that 360360 degrees is the measure of a full circle. The radian measure of a full circle is given as 2π2\pi radians.
  2. Converting degrees to radians: Convert 360360 degrees into radians using the relationship that 360360 degrees is equal to 2π2\pi radians. Since we are given that 360360 degrees is a full circle and the problem states that the number of radians in a full circle is 2π2\pi, we can directly equate 360360 degrees to 2π2\pi radians without further calculation.
  3. Choosing the correct option: Choose the correct option of radians for 360360 degrees. The correct option is 2π2\pi radians, which is equivalent to 360360 degrees.

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