Question

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. Solve for the total area watered by the sprinkler. Use the value π = 3.14, and round your answer to one decimal place.

a. 15.6 Square Meters
b. 17.8 Square Meters
c. 18.5 Square Meters
d. 19.2 Square Meters

Answer 1

I found the image that accompanied this problem.
We need to solve for the area of the sector.

A = n/360 * π * r²
A = 85/360 * 3.14 * 5²
A = 0.2361 * 3.14 * 25
A = 18.5347 

Answer is C. 18.5 square meters.

Answer 2

The area that the sprinkler covers is 18.5 square meters, so the correct option is c.

How to find the area covered?

The area of a circle of radius R is:

A = pi*R^2

If we have an arc that is defined by an angle θ, the area will be:

A = (θ/360°)*pi*R^2

In this case, pi = 3.14, θ = 85° and R = 5m, replacing all that we get:

A = (85°/360°)*3.14*(5m)^2 = 18.5m

So the correct option is c.

If you want to learn more about circles, you can read:

https://brainly.com/question/1559324