a) What must be true about the area of the rearranged circle portions compared to the original area of the circle? b) as the number of sectors increases c) what value does the height of the rearrangment continue to get closer to? What does the base length get closer to?
a) What must be true about the area of the rearranged circle portions compared to the original area of the circle? b) as the number of sectors increases c) what value does the height of the rearrangment continue to get closer to? What does the base length get closer to?
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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Question
a) What must be true about the area of the rearranged circle portions compared to the original area of the circle?
b) as the number of sectors increases
c) what value does the height of the rearrangment continue to get closer to? What does the base length get closer to?
d) what does the value of the area of this new shape approach?
e) If the radius is r instead of .5, fill in the diagram below for the height, the base and the area
Transcribed Image Text:Exercise #6: Now, examine the additional handout on Circle Dissection Diagrams. On the sheet, the same
circle has been sliced repeatedly and rearranged. The first such is shown below as well.
(a) What must be true about the area of the rearranged circle
portions compared to the original area of the circle?
(b)
As the number of slices (sectors) increases,
what does the shape of the rearrangement start
(e) If the radius is r instead of 0.5, fill in the
to resemble?
diagram below for the height, the base and the
area.
What value does the height of the
rearrangement continue to get closer to? What
does the base length get closer to? (See #5
(c)
h=
above)
W =
(d)
What does the value of the area of this new
shape approach?
A =
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