Question

Points B and C lie on a circle with center O and a radius of 15 units. If the length of arc BC is 21 units, what is m *BOC in radians?

Answer 1

Given:

`\begin{gathered} r=15\text{ }units \\ \hat{BC}=21\pi\text{ }units \end{gathered}`

To find:

The angle BOC.

Step-by-step explanation:

Using the length of the arc formula,

`\begin{gathered} l=r\theta \\ 21\pi=15\theta \\ \theta=(21\pi)/(15) \\ \theta=(7)/(5)\pi \end{gathered}`

The angle is

`\angle BOC=(7)/(5)\pi`

Final answer:

The angle is

`\angle BOC=(7)/(5)\pi`