To find: Sum of areas of all semicircles.
Answer to Problem 51E
Explanation of Solution
Given:
The given figure is,
Number of semicircle in
Radius of each semicircle is
Formula used:
A geometric progression with initial term
Calculation:
Here, total area of semicircle in the 1st row is,
Total area of semicircle in the 2nd row is,
Similarly, total area of semicircle in the
Hence area of all semicircles is,
Here, A is geometric progression with initial term
So,
Therefore, areas of all semicircles are
Chapter 10 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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