Question

Find the area of the regular hexagon

Answer 1

Answer:

Area = 166cm² (Approximately)

Step-by-step explanation:

To solve this, let's recall the formula for the area of a REGULAR Hexagon.

The area of a REGULAR Hexagon is expressed as:

A = (3√3 * a²) / 2

Where a is the length of one side of the Hexagon.

a= 8cm.

Area = (3√3 * 8²) / 2

Area = (3√3 * 64) / 2

Area = (192√3) / 2

Area = 332.55 / 2

Area = 166.28cm²

Area = 166cm² (Approximately)

Answer 2

Answer: Area = 96 cm²

Step-by-step explanation:

The polygon has 6 sides, since it is a regular hexagon, all the sides are equal.

The formula for determining the area of a regular polygon is expressed as

Area = pa/2

Where

P represents the perimeter of the polygon.

a represents the apotherm of the polygon. The apotherm is the perpendicular distance from the center of one side of the polygon to the center of the polygon.

From the information given, the apotherm = 4 cm

Perimeter = 8 × 6 = 48

Area of polygon = (48 × 4)/2

= 96 cm²