A new business center in town was built in a shape of a regular nonagon. Each side is 160 feet long which is the area occupied b
1 answer:
Answer:
158,254.08 ft²
Step-by-step explanation:
A nonagon is a polygon with 9 sides and 9 angles. A regular nonagon has all equal sides and all equal angles. In order to find the area of a nonagon, you can use the formula:
A = where 'a' represents the length of one side
Calculating the known measurements ahead of time, we get a condensed, or simplified formula:
A = 6.1818 x a²
Using the side length of 160 ft:
A = 6.1818 x 160² = 158,254.08 ft²
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The charge should be $6. I believe I set this up correctly; let me know if there are any errors. Hope this is helpful & accurate.
Answer:
Area of the shaded region = 6.88 cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the semicircle
Area of the rectangle = Length × Width
Length of the rectangle = AD = 8 cm
Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]
Area of the rectangle = 8 × 4 = 32 cm²
Area of the semicircle =
=
=
= 25.12 cm²
Area of the shaded region = 32 - 25.12
= 6.88 cm²
