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.

Respuesta :

 3.14*5^2=78.5
78.5*85/360=18.5

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 [tex]\frac{\pi }{180}[/tex]

So the angle in radian is = [tex]85*\frac{\pi}{180}=1.4835[/tex]

The formula of area is = [tex]\frac{1}{2}angle*r^2[/tex]

Area = [tex]\frac{1}{2}*1.4835*5^2[/tex]

Area = 18.5 square meter   :   Answer

Hope it will help :)