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

1.    9.7

2.   310.4

Step-by-step explanation:

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9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

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step-by-step explanation: