(a)
To find: The area one of the
(a)
Answer to Problem 42E
The area is:
Explanation of Solution
Given information:
A regular
Calculation:
Each of the isosceles triangles consists of two right triangles whose hypotenuse is 1 and its acute angle measures
The height of each triangle is then
So each isosceles triangle has the following area:
Therefore the required area is
(b)
To find: The limit of the area of the inscribed polygon as
(b)
Answer to Problem 42E
The limit is:
Explanation of Solution
Given information:
The inscribed polygon as
Calculation:
The area of each isosceles triangle is
The area of the polygon:
Therefore,
Therefore the required limit of the area of the inscribed polygon as
(c)
To find: The area in parts of (a) and (b) for a circle of radius
(c)
Answer to Problem 42E
The area:
Explanation of Solution
Given information:
From part (a)
From part (b)
Calculation:
Need to multiply each area and get in (a) and (b) by
Therefore the required area in parts of (a) and (b) for a circle of radius
Chapter 5 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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