contestada

A rectangular octagon is shown in the ceiling of a cathedral. The radius is 10.5 feet and the perimeter is 64 feet. 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

Respuesta :

jessicasyasya

Answer:

9.7 , 310.4

Step-by-step explanation:

length of each side = 64/8=8

using theorem Pythagoras

A²=10.5² – (8/2)²

A=9.7 ft

area of triangle

1/2×8×9.7=38.8

area of octagon

38.8×8=310.4

abiolataiwo2015

The Length of the octagon  is 9.7 and the area of octagon is 310.4.

Length and  area of octagon

Length of octagon

Length of each side = 64/8

Length of each side =8

Pythagoras theorems

A²=√10.5² – (8/2)²

A²=√110.25 – 16

A²=√94.25

A=9.7 ft

Area of octagon

Area of triangle=1/2×8×9.7

Area of triangle=38.8

Area of octagon=38.8×8

Area of octagon=310.4

Therefore the Length of the octagon  is 9.7 and the area of octagon is 310.4.

Learn more about Length and  area of octagon here:https://brainly.com/question/358118

#SPJ9

Otras preguntas