Textbook ExpertVerified Tutor
10 Dec 2021
Given information
The given expression is 
Step-by-step explanation
Step 1.
Consider the figure 
For example,
In figure , a polygon with 
equal sides has been inscribed in a circle of radius 
, a polygon with equal sides has been inscribed in a circle of radius The center of the circle is at 
Since all sides of the polygon are equal, the angles at the center subtended by these sides are also equally 
The area of the polygon is
the area of one of the triangles made by the side of the polygon and the radii joining it.Consider the triangle A O B
The area of triangle 
base 
height (altitude)
base height (altitude)Draw the perpendicular line 
from 
onto 
in the triangle 
producing the triangle 
from onto in the triangle producing the triangle 
The area of 
is
is
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 2d
- Problem 3a
- Problem 3b
- Problem 4a
- Problem 4b
- Problem 5a
- Problem 5b
- Problem 5c
- Problem 5d
- Problem 6a
- Problem 6b
- Problem 6c
- Problem 7
- Problem 8
- Problem 9a
- Problem 9b
- Problem 9c
- Problem 10a
- Problem 10b
- Problem 10c
- Problem 11
- Problem 12a
- Problem 12b
- Problem 12c
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22a
- Problem 22b
- Problem 23
- Problem 23a
- Problem 23b
- Problem 23c
- Problem 24
- Problem 25a
- Problem 25b
- Problem 25c
- Problem 26
- Problem 27
- Problem 28a
- Problem 28b