14.7k views
0 votes
The diagram shows the areas of a lawn covered

by two water sprinklers. Which sprinkler covers
a greater area of the lawn? How much more?
45 ft
80°
Sprinkler A
40 ft
100%
Sprinkler B

User Zeusarm
by
7.4k points

1 Answer

2 votes

Answer: Sprinkler A covers an area of 45 ft with an 80° angle, while Sprinkler B covers an area of 40 ft with a 100% angle.

To compare the two, we need to calculate the area covered by each sprinkler. We can use the formula for the area of a sector of a circle to do this.

For Sprinkler A:

Area = (80/360) x pi x (45/2)^2 = 795.77 sq. ft.

For Sprinkler B:

Area = (100/100) x pi x (40/2)^2 = 1256.64 sq. ft.

Therefore, Sprinkler B covers more area than Sprinkler A by approximately 460.87 sq. ft.

User LJ Wilson
by
8.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories