Question

How do I find the area sector with the indicated central angle??

Answer 1

The formula to calculate the area of a sector is given to be:

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

where

`\begin{gathered} \theta=\text{ angle of the sector} \\ r=\text{ radius of the sector} \end{gathered}`

From the image provided in the question, we have:

`\begin{gathered} \theta=150\degree \\ r=17\text{ yd} \end{gathered}`

Therefore, the area of the sector is given to be:

`\begin{gathered} A=(150)/(360)*3.14*17^2 \\ A=378.1 \end{gathered}`

The area of the sector is 378.1 square yards.