Definition: A radian (rad) is a unit of angle measure based on a circle’s radius.
When the radius of a circle is equal in length to the measure of an arc, the central angle that inscribes it is equal to 1 radian:
There are 2π radians in a circle, which tells us:
1 radian = 360°/2π ≈ 57.29°
Example: How many radians make up 3/5 of a circle?
Keeping in mind that there are 2π radians in a circle, we can multiply 2π * (3/5) to determine the number of radians in 3/5 of a circle:
2π * (3/5) = 6/5π radians
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