a.
To determine the perimeter of a regular pentagon inscribed in a unit
a.
Answer to Problem 20WE
Perimeter is approximately 5.88 units.
Explanation of Solution
Given information :
First we shall consider the right angle
Here hypotenuse is of unit length.
Each angle of any
Here it is given regular pentagon. Hence sides are 5.
Angle is
Now angles are,
Now we can write,
Now perimeter is
b.
To determine the perimeter of a regular pentagon circumscribed about a unit circle.
b.
Answer to Problem 20WE
Perimeter is approximately 13.76 units.
Explanation of Solution
Given information :
First we shall consider the right angle triangle OFB.
Here perpendicular length is of unit length.
Each angle of any polygon can be calculated by the formula,
Here it is given regular pentagon. Hence sides are 5.
Angle is
Now angles are,
Now we can write,
Now perimeter is
Chapter 12 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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