The sides of a square field are
12 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.
THANK YOU!
6 answers
so, what's the difference between the area of a 12x12 square and a circle of diameter 12?
First, get the area of the square field. The area of the square is side multiplied by side.
A = S x S
A = 12 X 12
A = 144 meters squared
Second, get the area of the circle formed by the sprinkler.
The circle is formed inside the square with a radius of 6 meters (half of the diameter which is 12 meters).
A = \pir^{2}
A = 3.14 x 6^2
A = 113.04 meters squared.
In order to get the not sprinkled area, subtract the area of the square by the area of the circle.
Not Sprinkled Area = 144 meters squared - 113.04 meters squared
the final answer is 30.96 meters squared
A = S x S
A = 12 X 12
A = 144 meters squared
Second, get the area of the circle formed by the sprinkler.
The circle is formed inside the square with a radius of 6 meters (half of the diameter which is 12 meters).
A = \pir^{2}
A = 3.14 x 6^2
A = 113.04 meters squared.
In order to get the not sprinkled area, subtract the area of the square by the area of the circle.
Not Sprinkled Area = 144 meters squared - 113.04 meters squared
the final answer is 30.96 meters squared
This is my 7th grade hw and I get it now
30.96 is the answer :P
I’m in 6th grade and I’m in enriched math so I had thins question so now I get it
Daes
6 answers