A water sprinkler has a range of 5 meters as shown. The jet of water from the sprinkler sweeps out at an angle of 85° as the nozzle turns. What is the area watered by the sprinkler? Use the value π = 3.14, and round your answer to one decimal place.
Answer:
Step-by-step explanation:
Alright, lets get started.
The given angle is 85°.
Lets convert this angle into radian first.
For this we have to multiply this with \(\frac{\pi }{180}\)
So the angle in radian is = \(85*\frac{\pi}{180}=1.4835\)
The formula of area is = \(\frac{1}{2}angle*r^2\)
Area = \(\frac{1}{2}*1.4835*5^2\)
Area = 18.5 square meter : Answer
Hope it will help :)