Answer:
- perimeter: 42 units
- area: 73.5√3 ≈ 127.3 square units
Step-by-step explanation:
The side length of the hexagon is equal to its radius: 7. The perimeter is 6 side lengths, so is
perimeter = 6·7 = 42 . . . units
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The area is half the product of the perimeter and the apothem. The apothem is cos(30°) = (√3)/2 times the side length, so is (7√3)/2.
A = 1/2·perimeter·apothem
area = (1/2)(42)(7√3)/2 = 73.5√3 . . . square units
