The table shows the side length and approximate area of an octagonal stop sign.

Area of a Stop Sign

Which function can be used to compute the approximate area, in square inches, of a stop sign if it has a side length of x inches?

f (x) = 4.8x2

f (x) = 4x2

f (x) = (4.8) x

Question

Yadira Howe

Mathematics

17 September, 00:03

The table shows the side length and approximate area of an octagonal stop sign.

Area of a Stop Sign

Which function can be used to compute the approximate area, in square inches, of a stop sign if it has a side length of x inches?

f (x) = 4.8x2

f (x) = 4x2

f (x) = (4.8) x

+5

Answers (2)

Know the Answer?

Corinne Walters · Answer 1

Area = (# of sides * side length^2) / [4 * tan (180/n) ]

area = (8 * x^2) / 4 * tan (22.5)

area = 8 x^2 / (4 * 0.41421)

area = 8 x^2 / 1.65684

area = 4.828 x^2

Randall Diaz · Answer 2

Area = (# of sides * side length^2) / [4 * tan (180/n) ]

area = (8 * x^2) / 4 * tan (22.5)

area = 8 x^2 / (4 * 0.41421)

area = 8 x^2 / 1.65684

area = 4.828 x^2

So, it seems the correct answer is the first one.

The table shows the side length and approximate area of an octagonal stop sign.Area of a Stop SignWhich function can be used to compute the approximate area, in square inches, of a stop sign if it has a side length of x inches?f (x) = 4.8x2f (x) = 4x2f (x) = (4.8) x

The table shows the side length and approximate area of an octagonal stop sign.

Area of a Stop Sign

Which function can be used to compute the approximate area, in square inches, of a stop sign if it has a side length of x inches?

f (x) = 4.8x2

f (x) = 4x2

f (x) = (4.8) x