4.1 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.