Given:
Radius of a circle = 2.1 units
Arc length = 21.2 units
To find:
The central angle in radians to the nearest 10th.
Solution:
We know that the intercepted arc length is
[tex]s=r\theta[/tex]
Where, s is the arc length, r is the radius and [tex]\theta[/tex] is the central angle in radians.
Putting the given values, we get
[tex]21.2=2.1\theta[/tex]
[tex]\dfrac{21.2}{2.1}=\theta[/tex]
[tex]10.095238=\theta[/tex]
[tex]\theta\approx 10.1[/tex]
Therefore, the angle in radians is 10.1.
