Answered

What is the area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches
long? Round the answer to the nearest tenth.
2,331.0 in.²
1,554.0 in.²
1,165.5 in.²
194.3 in.²

Sagot :

The area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches is 1, 165. 5 In²

How to calculate the area of a regular hexagon

The formula is given thus;

Area of hexagon = (1/2) × a × P

where a = the length of the apothem

P = perimeter of the hexagon

Given a = 18. 5 inches

Note that Perimeter, p = 6a with 'a' as side

p = 6 × 21 = 126 inches

Substitute values into the formula

Area, A = 1 ÷2 × 18. 5 × 126 = 1 ÷2 × 2331 = 1, 165. 5 In²

Thus, the area of the regular hexagon is 1, 165. 5 In²

Learn more about the area of a hexagon here:

https://brainly.com/question/15424654

#SPJ1

ID Other Questions