Question

Points B and C lie on a circle with center O and radius r = 5 units. If the length of BCwn is 10.91 units, what is m∠BOC in radians? Use the value π = 3.1416, and round your answer to three decimal places.

Answer 1

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,

$S=r\times \theta$

Where, r is the radius and $\theta$ ( in radians ) is the central angle made by the arc,

Here, r = 5 units, S = 10.91 units,

By substituting the values,

$10.91=5\times \theta$

$\implies \theta = \frac{10.91}{5}=2.182\text{ radian}$

Hence, m∠BOC = 2.182 radian.

Answer 2

2.182 radians
Good look!