SOLUTION: 82. A sprinkler system on a farm rotates 140 degrees and sprays water up to 35 meters. Draw a diagram that shows the region that can be irrigated by the sprinkler. Then find the ar

Algebra ->  Trigonometry-basics -> SOLUTION: 82. A sprinkler system on a farm rotates 140 degrees and sprays water up to 35 meters. Draw a diagram that shows the region that can be irrigated by the sprinkler. Then find the ar      Log On


   



Question 84203: 82. A sprinkler system on a farm rotates 140 degrees and sprays water up to 35 meters. Draw a diagram that shows the region that can be irrigated by the sprinkler. Then find the area of the region.

Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
Your diagram will show a sector with a side length of 35 metres and an included angle of 140 degrees.
Find the area of a full circle with a radius of 35 metres. You are only watering 140 degrees of a total of 360 degrees in a circle so you are watering 140%2F360 of the full circles area.
Area =pi x (r squared)
pi+%2A+r%5E2
=pi+%2A+35%5E2
=pi+%2A+35%5E2
=3848 square metres
%28140%2F360%29+%2A+3848
=1497 square metres