The radius of a regular hexagon is 8 cm. Find the apothem, perimeter and area
of the regular hexagon.

the measure of the side = of the measure of radius because the regular hexagon have 6 sides = at each others

meaning the measure the perimeter is = 6 times the radius

and the radius = 8cm

so perimeter = 6× 8 cm

perimeter = 48cm

since the apothem is the segment perpendicular to a side thought the center and those segment are not promotional we have the notation as

r square root of 3 divided by 2

r = radius = 8 cm

by apply the formula

8square root 3 divided by 2

so the area will be

since the perimeter is 48cm

and the apothem is 8 square root of 3 divided 2

so the area will be 48 times 8 square root of 3 divided by 2 = 384 square of 3 divided by 2 .

hope that helps.

i believe the answer is the polygon, heptagon.

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.