The radius of a regular pentagon is 11 m. What is the length of its apothem?Question 3Select one:a.8.9 mb.5 mc.12.93 md.11 m
Question
The radius of a regular pentagon is 11 m. What is the length of its apothem?
Select one:
- a. 8.9 m
- b. 5 m
- c. 12.93 m
- d. 11 m
Solution
The apothem of a regular pentagon can be found using the formula:
a = r * cos(π/n)
where:
- a is the apothem
- r is the radius
- n is the number of sides
- π is a mathematical constant whose approximate value is 3.14159
- cos is the cosine function
In this case, the radius r is 11 m and the number of sides n is 5.
So,
a = 11 * cos(π/5)
Calculating this will give you the length of the apothem.
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