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A regular octagon is inscribed in a circle with radius 5.  Find the area of the octagon.

 May 22, 2020
 #1
avatar+111321 
+1

The  octagon will  be formed  8 congruent  isosceles triangles  with  equal sides of  5  and  an included angle  of 45°

 

The area of the octagon  is

 

8 (1/2) (5^2) sin (45°)  =

 

100  ( sqrt (2)  / 2)   =

 

50 sqrt (2)   units^2  

 

 

 

cool cool cool

 
 May 22, 2020
 #3
avatar+692 
0

never mind laugh

 
Dragan  May 22, 2020
edited by Dragan  May 22, 2020
 #2
avatar+692 
0

I misread the text !!!  laughcheeky

 

Phill's answer's correct!!! smiley

 
 May 22, 2020
edited by Guest  May 22, 2020
edited by Dragan  May 22, 2020
edited by Dragan  May 22, 2020

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