Question

Nancy randomly scattered one handful of seeds in her garden. The garden is circular and has a radius of 5 feet. Somewhere in the garden is a 2 feet by 2 feet square patch that has especially good soil for the seeds. If it is equally likely for a seed to land anywhere in the garden, what is the probability that a seed will land in the 2 feet by 2 feet square?

Answer 1

we know that
the garden is circular--------------> r=5 ft
Area1=pi*r²=pi*5²=78.50 ft²

path 2 feet by 2 feet square (good soil for the seeds)
Area2=2*2=4 ft²

the probability that a seed will land in the 2 feet by 2 feet square=Area2/Area1
P=4/78.5=0.051 (5.1%)

the answer is 0.051 (5.1%)