Which of the following radian measures is equal to 180∘ ?(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) 3π radiansC) 4π radians(D) π radians
Q. Which of the following radian measures is equal to 180∘ ?(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) 3π radiansC) 4π radians(D) π radians
Understanding degrees and radians: Understand the relationship between degrees and radians. We know that 360 degrees is equal to 2π radians. Therefore, to convert degrees to radians, we use the formula radians=degrees×(180π).
Converting 180 degrees to radians: Convert 180 degrees into radians using the formula from Step 1. By substituting 180 degrees into the formula, we get 180 degrees =180×(180π)=π radians.
Choosing the correct option for 180 degrees: Choose the correct option of radians for 180 degrees. The correct option is π radians, which is equivalent to 180 degrees.
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