(a)
To find: The area of the
(a)
Answer to Problem 39E
Area of the polygon for values of
Explanation of Solution
Given information:
A regular
Calculation:
The diagonal of the square is 2.
The side length of the square is
Since the area of the square is
Therefore the required area is 2.
(b)
To find: The area of the polygon for values of
(b)
Answer to Problem 39E
Area of the polygon for values of
Explanation of Solution
Given information:
A regular
Calculation:
Consider the octagon as a collection of 16 right triangles with a hypotenuse of length 1 and an acute angle measure
The height of the triangles are then
Area of the octagon
The required area of the polygon for values of
(c)
To find: The area of the polygon for values of
(c)
Answer to Problem 39E
Area of the polygon for values of
Explanation of Solution
Given information:
A regular
Calculation:
Consider the octagon as a collection of 32 right triangles with a hypotenuse of length 1 and an acute angle measure
The height of the triangles are then
Area of the octagon
The required area of the polygon for values of
(d)
To compare: The areas in parts (a),(b) and (c) with the area of the circle.
(d)
Answer to Problem 39E
Explanation of Solution
Given information:
A regular
Explain:
The areas found in (a), (b), and (c) are all smaller than
Chapter 5 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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