A regular heptagon with 7 sides is inscribed in a circle with radius 8 millimeters. What is the area of the figure?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
10
b
C
d
25.019 mm.²
150.112 mm.²
175.130 mm.²
205.639 mm.²
Transcribed Image Text:10 b C d 25.019 mm.² 150.112 mm.² 175.130 mm.² 205.639 mm.²
A regular heptagon with 7 sides is inscribed in a circle with radius 8 millimeters. What is the area of the figure?
Transcribed Image Text:A regular heptagon with 7 sides is inscribed in a circle with radius 8 millimeters. What is the area of the figure?
Expert Solution
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as we know that heptagon has n=7 sides and 

now the measure of each subtended angle is given by

\theta =\frac{360}{n}

take n=7

\theta =\frac{360}{7}

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