Question

1 inch = 2.54 centimeters The radius of the hexagon is 30 cm What is the approximate area to be covered by the window in square feet ?Round answers to the nearest 10th of a square foot

Answer 1

2.5 square feet

Explanation:

The area (A) of a regular hexagon in terms of its side length (s) is ...

A = (3/2)(√3)s²

The side length in feet is ...

(30 cm)×(1 ft)/(30.48 cm) = s = 30/30.48 ft = 125/127 ft

Then the area in square feet is ...

A = (3/2)√3(125/127 ft)² ≈ 2.517 ft²

The approximate area of the hexagon is 2.5 square feet.

_____

Comment on the question

There is nothing in this problem statement that relates the hexagon to the window area.