Question

A rotating sprinkler can spray out to 12 feet. The sprinkler rotates through an angle of 200 degrees . How many square feet of grass is watered by the sprinkler ( sector area )

Answer 1

Given:

The range of spray is 12 feet and rotation angle is 200 degree.

Required:

How many square feet of grass is watered by the sprinkler.

Step-by-step explanation:

Here

radius r = 12 ft

angle of rotation = 200 degree

We have a formula to find the sector area

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

now put the value

`A=(3.14*12^2*200)/(360)`
`A=(3.14*144*20)/(36)`
`A=(3.14*144*10)/(18)`
`A=(3.14*144*5)/(9)`
`A=3.14*16*5`
`A=251\text{ ft}^2`

Final Answer:

251 square feet of grass is watered by the