Question

A)
What is the area of a regular heptagon with side lengths 3.25 inches and an apothem of 5.5 inches?
(1 point)
71.5 in.2
125.125 in.2
53.625 in.2
62.5625 in.2
A)
The area of a regular nonagon is 424.125 square inches. Its apothem is 6.5 inches. Find themeasure of each side.
(1 point)
13.46 inches
14.5 inches
13.05 inches
16.3125 inches

Answer 1

1) Area = (1/2)(perimeter)(apothem). Perimeter = 7·3.25 = 22.75, so area = 0.5·22.75·5.5 = 62.5625 in². (Answer: 62.5625 in².)

2) s = 2A/(n·a) = 2·424.125/(9·6.5) = 848.25/58.5 = 14.5 inches. (Answer: 14.5 in.)