The angle measured is 1.72 radians
Solution:
Given that radius is 9 units and arc length is 15.5 units
To find: angle, [tex]\theta[/tex] , in radians
The length of arc when angle in radians is given as:
[tex]s = r \times \theta[/tex]
Where, "r" is the radius and "s" is the arc length
[tex]\theta[/tex] is central angle measured in radians
Substituting r = 9 and s = 15.5 in above formula,
[tex]15.5 = 9 \times \theta\\\\\theta = \frac{15.5}{9}\\\\\theta = 1.72[/tex]
Thus the angle measured is 1.72 radians
