How to convert degrees to radians in terms of pi?
Answer: 'Radians = Degrees × π/180' is the formula to convert degrees to radians in terms of pi.
Let's find out the answer with some explanation.
We know that,
One complete revolution of an angle at the center of a circle in radians is equal to 2π.
Similarly, in degrees, one complete revolution of an angle made at the center of a circle is 360∘.
Now if we compare both the values, we get,
360∘ = 2π
1∘ = 2π/360
1∘ = π/180
Thus, the formula we use to convert degrees to radians:
Radians = Degrees × π/180
This relation is deduced by analyzing a circle and can be used wherever you want to convert degrees into radians or radians into degrees.