Find the area of a regular octagon inscribed in a unit
Answer to Problem 16WE
The area of regular octagon is
Explanation of Solution
Given information: The given octagon is a regular octagon inscribed in a unit circle. So consider the regular octagon below,
Calculation: Since the given octagon is a regular octagon which is inscribed in a unit circle. Therefore the area of complete octagon will be 8 times the area of each
Also from the figure central angle
Now, area triangle AOB is evaluated as,
Now area of regular octagon is 8 times the area of triangle AOB. Therefore,
Chapter 12 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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