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Answer:
The area = 182.52 sq units.
Step-by-step explanation:
- Area of regular polygon can be found by splitting into smaller triangles.
- Each triangle has base as side of polygon and vertex as center of polygon.
now consider ΔOAB,
we know ∠AOB = ° =72°
as ∠AOD = (∠AOB)/2 = 36°
Now we know AD=AB/2 = =5.15 m
using trignometric relation tan(∠AOD) =
⇒OD = =
AREA OF TRIANGLE = BASE × HEIGHT /2
area of ΔOAD = × 5.15 ×
=
<u>As there are 10 such triangles like </u>ΔOAD
Total area =10×
= 182.525447428574
