Question

In circle S with mZRST = 86 and RS = 4 units find area of sector RST. Round to

the nearest hundredth.
R
S
T

Answer 1

`Area = 12.00`

Explanation:

Given

`\theta = m\angle RST = 86^o`

`r = RS = 4`

Required

Area of RST

The sector area is calculated using:

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

So, we have:

`Area = (86)/(360) * 3.14 *4^2`

`Area = (86* 3.14 *4^2)/(360)`

`Area = (4320.64)/(360)`

`Area = 12.00` ------------ approximated