212k views
17 votes
A rotating lawn is sprinkler sprays water in a circular area of grass, as shown in the picture. The diameter of the circle area of grass is 16 ft. Which measurement is the closest to the area in square feet that this sprinkler sprays with water?

User Jivy
by
4.7k points

1 Answer

7 votes

Answer:

201.06 square feet.

Explanation:

=> The diameter of a circle is equal twice its radius. So we divide the diameter by 2 to get its radius.

=> The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 feet.

=> Area of the circle = π × r² = 3.1415 × 8 feet = 201.056 square feet

User Luke Wenke
by
4.0k points