To convert radians to degrees, you can use the conversion formula:
Degrees = Radians × (180° / π)
In this case, we want to convert π/3 radians into degrees. So we can plug in the value into our formula:
Degrees = (π/3) × (180° / π)
Notice that the π in the numerator and the π in the denominator will cancel each other out:
Degrees = (1/3) × 180°
Now, simply perform the multiplication:
Degrees = 180° / 3 = 60°
Thus, the equivalent of π/3 radians is 60 degrees.
This conversion is useful in various applications such as geometry, trigonometry, and physics, where angles may be measured in either radians or degrees, and sometimes it’s necessary to switch between the two. Knowing the degrees can make it easier to understand and communicate measurements, especially in practical scenarios like navigation, engineering, and computer graphics.