How many degrees in 2π/5 radians?
Correct answer: A. 72°
- A. 72°
- B. 80°
- C. 50°
- D. 90°
Explanation
A full circle is 2π radians, which is equal to 360 degrees. Therefore, to convert radians to degrees, you can use the following formula:Degrees = Radians * (180/π) In this case, you have 2π/5 radians. Plugging that into the formula:Degrees = (2π/5) * (180/π)The π cancels out:Degrees = (2/5) * 180Degrees = 72So, 2π/5 radians is equal to 72 degrees.
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About Angular Displacement
Angular displacement measures the change in a body’s angular position and is expressed in radians or degrees, with anticlockwise and clockwise directions assigned signs. It connects to arc length, angular velocity and angular acceleration, and must be distinguished from ordinary linear displacement in rotational motion.
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