The interior angles of a regular polygon each measure 165∘165∘. how many sides does the polygon have?
1 answer:
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Answer:
B) 176 ft²
Step-by-step explanation:
The picture below is the attachment for the complete question. The figure has 3 halves of a circle and a square . The area of the figure is the sum of their area.
Area of a square
area = L²
where
L = length
L = 9 ft
area = 9²
area = 81 ft²
Area of the 3 semi circles
area of a single semi circle = πr²/2
For 3 semi circle = πr²/2 + πr²/2 + πr²/2 or 3 (πr²/2)
r = 9/2 = 4.5
area of a single semi circle = (3.14 × 4.5²)/2
area of a single semi circle = (3.14 × 20.25 ) /2
area of a single semi circle = 63.585 /2
area of a single semi circle = 31.7925
Area for 3 semi circles = 31.7925 × 3 = 95.3775 ft²
Area of the composite figure = 95.3775 ft² + 81 ft² = 176.3775 ft
Area of the composite figure ≈ 176 ft²
