Answer:
The area of the regular nonagon is 7921.8 square inches.
Step-by-step explanation:
Geometrically speaking, the area of a regular polygon is determined by following area formula:
(1)
Where:
- Area of the regular polygon, in square inches.
- Perimeter, in inches.
- Apothem, in inches.
If we know that and , then the area of the regular nonagon is:
75
A
Given 2 similar figures with sides in the ratio a : b
Then the ratio of their areas is a² : b²
Hence
ratio of sides = 2 : 9, then
ratio of areas = 2² : 9² = 4 : 81 → A