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Finding the Area of a Regular Polygon The regular octagon in the ceiling of this cathedral has a radius of 10.5 feet and a perimeter of 64 feet. What is the length of the apothem of the octagon? Round your answer to the nearest tenth of a foot. feet Using your answer for the length of the apothem, what is the area of the regular octagon? Round your answer to the nearest tenth of a square foot. square feet

Finding the Area of a Regular Polygon The regular octagon in the ceiling of this cathedral has a radius of 105 feet and a perimeter of 64 feet What is the lengt class=

Respuesta :

Length of ML = perimeter / 8 = 64/8 = 8 feet

The triangle  MON is right angled , ON is the apotherm and  OM = radius 10.5 ft.
MN = 1/2 * 8 = 4 ft

ON^2 = 10.5^2 - 4^2 
ON^2 =  94.25
ON = 9.708 
= 9.7 to nearest tenth Answer

Area of the octagon  = 8 * area of triangle MOL 
= 8 *  9.7 * 4 =  310.4  sq feet  Answer
aarguellez1803

Answer:

1.    9.7

2.   310.4

Step-by-step explanation:

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