In the regular octagon below, if AP = 10 cm. and BC = 15 cm, find it's area.
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Given:
There is a regular octagon given as below
Required:
We want to find the area of given regular octagon if AP = 10 cm. and BC = 15 cm
Explanation:
As we can see in the figure that there 8 triangles which are exactly same
so if we find area of 1 triangle and multiply with 8 we get the area of whole regular octagon
The area of 1 triangle is
[tex]a=\frac{1}{2}*10*15=75\text{ cm}^2[/tex]now to find area of regular octagon
[tex]A=8a=75*8=600\text{ cm}^2[/tex]
Final answer:
600 sq cm