The radius of a regular decagon is 7.6 m. What is the length of its apothem? (Your answer will be numerical only and rounded to the nearest whole number).
Question
The radius of a regular decagon is 7.6 m. What is the length of its apothem? (Your answer will be numerical only and rounded to the nearest whole number).
Solution
To find the length of the apothem of a regular decagon, we can use the formula for the apothem (a) of a regular polygon:
a = r * cos(π/n)
where r is the radius and n is the number of sides.
For a decagon, n = 10.
So,
a = 7.6 * cos(π/10)
Calculating this gives a value of approximately 7.
So, the length of the apothem is 7 m (rounded to the nearest whole number).
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