Question

A regular hexagon is shown.

A rectangular hexagon has an apothem with length 12 inches and a radius with length c. The apothem cuts the side of the hexagon into 2 equal parts with length b.

What is the measure of the radius, c, rounded to the nearest inch? Use the appropriate trigonometric ratio to solve.

6 in.
10 in.
14 in.
24 in.

Answer 1

Answer:

The answer is C) 14in.

Step-by-step explanation:

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Answer 2

The radius of the hexagon with an apothem of 12 in is 14 inches.

What is trigonometric ratio?

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

The angles of a hexagon measure 60 degrees each, since it is bisected, the angle becomes 30 degrees.

Let c represent the radius of the hexagon, hence:

cos(30) = 12/c

c = 14 in

The radius of the hexagon with an apothem of 12 in is 14 inches.

Find out more on trigonometric ratio at: https://brainly.com/question/24349828