Measurements Of Polygons And Circles Worksheets - Lance Mangham, 6th Grade Math, Carroll Isd Page 28

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Activity 10-21: Bull’s Eye & Hat Size
Name:
1. The radius of the inner circle is one inch. Each successive circle has a radius increase of one inch, so
the outside circle has a radius of five inches (note that they are not drawn in actual size).
Which has a greater area – the shaded region or the striped region?
2. Let’s determine your hat size! Have a friend measure around your head at approximately the place a
hat would rest. Measure to the nearest one-eighth of an inch. Divide this by the fraction form of pi,
round up to the nearest eighth, and you have your hat size!
3. Write a procedure that can be used to find the area of the shaded region inside the square.
8 in.
4. The Square Pizza Company only serves pizza in the shape of squares. Unfortunately, an employee
mistakenly ordered 16-inch diameter circular pizza pans. What is the largest size square pizza that can
be made from this pan?
5. The Square Pizza Company makes pizza dough to place in 16-inch diameter circular pans, then cuts
off the edges of the circle to create the largest square pizza possible. If the area of the cut-off dough can
be reformed into another square pizza, then what side length would this recycled square pizza have?
th
Created by Lance Mangham, 6
grade math, Carroll ISD

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