Question

Find the area of sector to the nearest tenth:r=12.0ftθ=2 π —— radians 3

Answer 1

The area of a circular sector with angle θ and radius r is given by:

`A(\theta,r)=\pi\cdot r^2\cdot((\theta)/(2\pi))=(\theta)/(2)\cdot r^2\text{.}`

In this case, we have:

• r = 12.0ft,

,

• θ = 2pi/3.

Replacing these data in the equation above, we get:

`A((2\pi)/(3),12.0ft)=((2\pi)/(3))/(2)\cdot(12.0ft)^2=(\pi)/(3)\cdot144\cdot ft^2\cong150.8ft^2.`

Answer: 150.8ft²