Question

What is larger, the area of a circle inscribed in a 4x4 square, or the total area of 16 circles inscribed in 16 1x1 squares?

Answer 1

so the first one
diametter is 4
d/2=r=4/2=2
area=pir^2
area=pi2^2=4pi

16 circles
diameter is 1
d/2=1/2=r
16 times pir^2
16 times pi (1/2)^2
16 times pi(1/4)
4 times pi
4pi



the 4 by 4 is 4pi
the 16 circles is also 4pi
trick question, both are equal area