Asprinkler sprays water over a distance of 40 feet and rotates through an angle of 80 degrees. find the area watered by the sprinkler.

a: 1117.01 ft^2
b: 558.51 ft^2
c: 111.70 ft^2
d: 55.85 ft^2

i will give test grade and test is timed!

Option: A

Step-by-step explanation:

A sprinkler sprays water over a distance of (r) = 40 feet

Rotates through an angle of (θ) =  80°

80° convert to radians

θ in Radians = 1.396263402

We know that,

Area of sprinkler is

Substitute the given values,

Area of sprinkler is

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

ratio is 2 : 9

the answer is three

13.5 : 3