The sides of a square field are 24 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth. Use 3.14 for π.

Step-by-step explanation:

The formula for determining the area of the square field is expressed as

Area = Length²

Length = 24 meters

Area = 24² = 576 m²

The formula for determining the circular area covered by the sprinkler is expressed as

Circular area = πr²

Where

r represents the radius

π = 3.14

From the information given,

Diameter = 24 meters

Radius = diameter/2 = 24/2 = 12 meters

Area = 3.14 * 12² = 452.16 m²

Therefore, the area of the field not reached by the sprinkler is

576 - 452.16 = 123.84 m²