Question

In Circle C, BC equals 6 and angle ABC equals 120 degrees. What is the area of the Shaded sector?

Answer 1

Given data:

The given radius is r=6 .

The given angle is θ= 120 degrees.

The expression for the area of the shaded region is,

`A=(\theta)/(360^(\circ))\pi(r)^2`

Substitute the given values in the above expression.

`\begin{gathered} A=(120^(\circ))/(360^(\circ))\pi(6)^2 \\ =12\pi \\ =37.68 \end{gathered}`

Thus, the area of the shaded region