A regular octagon has a radius of 6 ft and a side length of 4.6 ft. A regular octagon has a radius of 6 feet and side lengths of 4.6 feet.

What is the approximate area of the octagon?

71 ft2
101 ft2
110 ft2
202 ft2

Area of regular octagon is 102.16 ft².

Step-by-step explanation:

Using Formula

Area of regular octagon = 2 a ² ( 1 + √2 )

substitute the values

Area of regular octagon = 2 ( 4.6 ft ) ²( 1 + √2 )

Evaluate the exponent

Area of regular octagon = 2 × 21.16 ft ²( 1 + √2 )

Using distributive property

Area of regular octagon = 42.32 × 1 + 42.32 × √2

multiply, we get

Area of regular octagon = 42.32 + 59.84

Add

Area of regular octagon = aaprox. 102.16 ft ²

Therefore, area of regular octagon is 102.16 ft².

B - 101

Step-by-step explanation:

Trust the process

edge 2021

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