Given:
Radius of a circle = 7.8
Intercepted arc length = 44.
To find:
The angle in radians to the nearest 10th.
Solution:
We know that,
[tex]\text{Arc length}=r\theta[/tex]
Where, r is the radius of the circle and θ is the central angle in radians.
Substituting the values, we get
[tex]44=(7.8)\theta[/tex]
[tex]\dfrac{44}{7.8}=\theta[/tex]
[tex]5.641=\theta[/tex]
[tex]\theta\approx 5.6[/tex]
Therefore, the angle in radians to the nearest 10th is 5.6.
