To find: The area of the regular
Answer to Problem 13PPS
The required area of the regular
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
Calculation:
Consider the formula for the area of the regular polygon with the side length of s is,
Consider the isosceles triangle with the vertex at the centre of the pentagon with the segment that bisects the central
Figure 2
Find the tangent ratio with the help of the apothem as,
The area with the help of side length and the apothem is obtained as,
Thus, the formula for the area of the polygon triangle is,
Chapter 11 Solutions
Geometry, Student Edition
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning