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?

Question

Mathematics

Joselyn Haynes

Yesterday, 11:44

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?

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Answers (1)

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Marina Wheeler · 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