Answers to be filled are rectangle, [tex]2\pi[/tex] , equal, [tex]2\pi r^2[/tex].
Given,
In the question:
Suppose the bottom surface, or base, of a cylinder is divided into 16 congruent sectors. then the sectors are rearranged as shown.
Open this GeoGebra activity to divide the circle into even more sectors and rearrange the sectors for yourself.
To complete the statement to compare the areas of the two figures and find the area of the base of the cylinder.
Now, According to the question:
To complete the statements
A circle of radius 'r' and rearranged figure out of sectors of the same circle.
When the sectors of the circle are rearranged , they are close to forming a rectangle with a length of 2[tex]\pi[/tex]r units and a width of r units.
The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2[tex]\pi r^2[/tex] sq. units
Hence, Answers to be filled are rectangle, [tex]2\pi[/tex] , equal, [tex]2\pi r^2[/tex].
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