Answer:
The area the sprinkler sprays with water is 201.06 square feet.
Step-by-step explanation:
Step 1; It is given that the diameter of the circular area of grass that the sprinkler sprays with water is 16 feet. The diameter of a circle is equal twice its radius. So we divide the diameter by 2 to get its radius.
Radius of the circle = Diameter of the circle / 2 = 16 feet / 2 = 8 feet.
Step 2; 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 = 201.06 square feet