Question

86 and RS RE 4 units find area of sector RST. Round In circle S with m_RST to the nearest hundredth. R S T

Answer 1

Given a sector with radius, r,

`\begin{gathered} \text{ and subtends an angle }\theta\text{ at the center, then the area, A, of the } \\ \text{ sector is given by} \end{gathered}`
`A=(\theta)/(360^0)*\pi r^2`

In this case,

`\theta=86^0,r=4units`

then

`A=(86)/(360)*\pi*4^2=(86*16\pi)/(360)`

Take

`\pi\approx3.142`

Then,

`A=(86*16*3.142)/(360)\approx12.01\text{units}^2`

Therefore the area of the sector is 12.01 square units