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 2π.)Choose 1 answer:(A) 2π radians(B) π radians(C) 2π radiansD) 3π radians
Q. 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 2π.)Choose 1 answer:(A) 2π radians(B) π radians(C) 2π radiansD) 3π radians
Understanding degrees and radians: Understand the relationship between degrees and radians. We know that 360 degrees is the measure of a full circle. The radian measure of a full circle is given as 2π radians.
Converting degrees to radians: Convert 360 degrees into radians using the relationship that 360 degrees is equal to 2π radians. Since we are given that 360 degrees is a full circle and the problem states that the number of radians in a full circle is 2π, we can directly equate 360 degrees to 2π radians without further calculation.
Choosing the correct option: Choose the correct option of radians for 360 degrees. The correct option is 2π radians, which is equivalent to 360 degrees.
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