[tex]2[/tex] radians is the measurement of the angle that subtends the arc.
What is radians?
The radian, denoted by the symbol rad, is the SI unit for measuring angles, and is the standard unit of angular measure used in many areas of mathematics. The unit was formerly an SI supplementary unit and the radian is now an SI derived unit.
According to question, a circle has a radius of length r.
We have to find the measurement of the angle that subtends the arc if we mark off an arc on the circle of length 2r.
Since, Radian=arc length/radius
Now, arc length=2r
radius=r
So, Radian[tex]=\frac{2r}{r}[/tex][tex]=2[/tex]
So, [tex]2[/tex] radians is the measurement of the angle that subtends the arc.
Hence, we can conclude that Option(D) is correct.
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