Find the area of the regular polygon, round to nearest hundredth. a 93.23 b 186.45 c 933.25 d 466.13
1 answer:
Answer:
See Explanation and Attachment
Step-by-step explanation:
Your question is incomplete as the diagram of the polygon is not attached.
However, I'll give a general guide to calculate the area of a regular polygon.
If you apply these steps, you'll be able to solve your question.
The area of a regular polygon is calculated this.
Area = ½ap
Where a represents the apothem of the polygon and p represents the perimeter of the polygon.
The term "apothem" means the distance between the centre of the polygon and the base of the polygon.
Take for instance, the attachment below.
The polygon is a regular hexagon (it has 6 sides)
The apothem, a = 8.2 ft
The perimeter, p = The sum of all sides of the hexagon
p = (7.6 + 7.6 + 7.6 + 7.6 + 7.6 + 7.6)ft
p = 45.6 ft
Hence, the area of the polygon
A = ½ap becomes
A = ½ * 8.2 * 45.6
A = ½ * 373.92
A = 186.96ft²
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