Answer:
m∠BOC is 2.182 radian.
Step-by-step explanation:
Given,
Points B and C lie on the circle that having the radius 5 units and center O,
Such that, Arc BC = 10.91 units,
We know that,
The arc length is,
[tex]S=r\times \theta[/tex]
Where, r is the radius and [tex]\theta[/tex] ( in radians ) is the central angle made by the arc,
Here, r = 5 units, S = 10.91 units,
By substituting the values,
[tex]10.91=5\times \theta[/tex]
[tex]\implies \theta = \frac{10.91}{5}=2.182\text{ radian}[/tex]
Hence, m∠BOC = 2.182 radian.
