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lora16 [44]
4 years ago
11

HELP!

Mathematics
2 answers:
Akimi4 [234]4 years ago
4 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

There will be 8 triangles made.

The center angle will be = \frac{360}{8}=45

The triangle will be formed an isosceles triangle, so remaining angle will be :

\frac{180-45}{2}=67.5

sin 67.5=\frac{opposite}{5}

opposite= CD = 5sin67.5=4.6194

Similarly,

adjacent = BD = 5cos67.5=1.9134

The complete AB will be = 2*1.9134=3.8268

Area of triangle ABC will be = \frac{1}{2}*base*height = \frac{1}{2}*3.8268*4.6194=8.838

So, the area of octagon will be 8 times area of this triangle.

Area of octagon will be = 8*8.838=70.70

Hence are the area of octagon is  70.70 :   Option D  :   Answer

Hope it will help :)

Nuetrik [128]4 years ago
3 0

the answer is d I know this one


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