Question

The sides of a square field are 32 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.

Answer 1

As = 32^2 = 1024 m^2.
Ac = pi*r^2 = 3.14 * 16^2 = 803.8 m^2.

As-Ac = 1024 - 80j.8 = Area not reached.

Answer 2

total area = 32 * 32 = A
sprinkled area = pi d^2/4 = pi (32*32)/4

difference= (32*32)(1-pi/4)
= 32*32 (1 - 3.14/4)
= 32*32 (.215)

we lose about 21.5 % of our grass seed :)

Answer 3

1024-803.8 = Area not covered.

Answer 4

220

Answer 5

the real answer is 220.16 m squared. that's the only way most homework websites will take the answer.

Answer 6

The answer is actually 123.85 I learned that the hard way and yeah I tried 220.16 but it was corrected to 123.85 so yeahhhh so not make the same mistake i did.