Answer:
Apothem = 3.3 units
Explanation:
A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.
The formula to find the area of a polygon when given Apothem and Side length =
A = 1/2 × a × p
Where p = no of sides of polygon × side length
In the above question,
We are given a polygon = nonagon = 9 sides
Side length = 7 units
p = 9 × 7 = 63 units
Area = 102.4 square units
Apothem = a = ?
We substitute into the formula
102.4 = 1/2 × a × 63
102.4 = 63a/2
Cross Multiply
102.4 × 2 = 63a
Divide both sides by 63
a = 102.4 × 2/63
a = 3.2507936508 units
Approximately to the nearest tenth = 3.3 units