Question

The given figure is a regular hexagon with side length 12 and radius 10. Find the length of the apothem a. Question 16 options: A) 15.6 B) 8 C) 12 D) 9

Answer 1

B) 8

Explanation:

a regular hexagon with side length 12 and radius 10.

the length of the apothem

to get the length of the apothem, use the Pythagorean theorem.

a² + b² = c²

let a = 6, b = apothem, c = 10

plugin values into the formula

6² + b² = 10²

b² = 10² - 6²

b = √(100 - 64)

b = 8

Answer 2

the length of the apothem is 8, option B

Explanation:

given:

a regular hexagon with side length 12 and radius 10.

find;

the length of the apothem

referring to the attached image,

to get the length of the apothem, use the Pythagorean theorem.

a² + b² = c²

let a = 6, b = apothem, c = 10

plugin values into the formula

6² + b² = 10²

b² = 10² - 6²

b =
`√(100 - 36)`

b =
`√(64)`

b = 8

therefore,

the length of the apothem is 8, option B