Question

Find the sector area of the circle. Use 3.14 for the value of pi

Answer 1

Given:

Radius of the cirle = 11 ft

Angle = 150 degrees

π = 3.14

Let's find the area of the sector of the cicle.

To find the area of the sector, apply the formula:

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

Where:

π = 3.13

θ = 150 degrees

r = 11

Thus, we have:

`\begin{gathered} A=(150)/(360)*3.14*11^2 \\ \\ A=(150)/(360)*3.14*121 \end{gathered}`

Solving further:

`\begin{gathered} A=0.41667*3.14*121 \\ \\ A=158.3ft^2 \end{gathered}`

Therefore, the sector area of the circle is 158.3 square feet.

ANSWER:

158.3 square feet.