Answer:
Central angle = θ = 2.5 radians
Step-by-step explanation:
The radian measure of central angle is given by
[tex]\theta = \frac{s}{r}[/tex]
Where s is the arc length, r is the radius of circle and θ is angle in radians
We are given an arc length of 5 units
[tex]s = 5[/tex]
We are given radius of 2 units
[tex]r = 2[/tex]
Therefore, the central angle in radians is
[tex]\theta = \frac{5}{2}\\\\\theta = 2.5 \: rad[/tex]
Bonus:
Radian is a unit which we use to measure angles.
1 Radian is the angle that results in an arc having a length equal to the radius.
Degree is another unit that we use to measure angles.
There are 360° in a circle.
There are 2π radians in a circle.
