To find: The centre, radius, an apothem and a central
Answer to Problem 8PPS
The centre is at
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
Calculation:
Consider the centre of the regular polygon is the centre of the polygon’s circumscribed
Consider the radius of the polygon is the radius of the circle that is line XV.
Consider the apothem is the segment drawn from the centre of the regular polygon perpendicular to the side of the polygon that is line XY.
Consider that the central angle of the regular polygon has the vertex at the centre of the polygon and it passes through consecutive vertices of the polygon.
Thus, the central angle of the regular polygon is
Thus, the centre is at
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