Question

What is the area of a 6 sided regular polygon whose sides measure 7.3 inches with an apothem of 6.3?

A) 276.54 square inches
B) 138.27 square inches
C) 43.8 square inches
D) 20.2 square inches

Answer 1

The area of a 6-sided regular polygon with sides measuring 7.3 inches and an apothem of 6.3 inches is 138.27 square inches.

Step-by-step explanation:

To find the area of a regular polygon, we can use the formula: Area = (Perimeter × Apothem) / 2.

In this case, the polygon has 6 sides with a length of 7.3 inches and an apothem of 6.3 inches.

The perimeter of the polygon is 6 times the length of one side, so it is 6 × 7.3 = 43.8 inches.

Plugging these values into the formula, we get: Area = (43.8 × 6.3) / 2 = 138.27 square inches.

Therefore, the correct answer is B) 138.27 square inches.