Modeling Accumulations: Quiz


Problem 1

How many 1 x 1 squares can fit completely inside a circle of radius 2? What is the smallest number of 1 x 1 squares needed to cover a circle of radius 2? What range of values does this give you for π?

Sketch each of the circles and the corresponding squares.


Answers, problem 1

7 squares fit inside the circle; 16 squares cover the circle.

The area of the circle is πr2 = 4π, and it is between 7 and 16, so π is between 7/4 = 1.75 and 16/4 = 4.


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