Best Answer

It is 9.1 inches (approx).

L*[sin(x) + sin(2x) + sin(3x) +sin(4x)] = 28 inches where x = 360/10 = 36 degrees.

Since x = 36 deg,

sin(x) = sin(4x) and sin(2x) = sin(3x)

So

L*[2sin(x) + 2sin(2x)] = 28 inches

L*[sin(x) + sin(2x)] = 14 inches

L* 1.539 = 14 approx so that L = 9.098 inches or 9.1 inches, approx.

Q: How long is each side of a 28 inch regular decagon?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

A decagon is a 10-sided figure. If each side is 9.9 feet long, the perimeter of the decagon, which is the sum of all sides, is 10 x 9.9 feet or 99 feet.

A decagon is a shape that has ten sides. As long as the figure has ten sides to it, then it is a decagon.

Each side of the 48 inch perimeter is 6 inches long, therefore there are 48 / 6 = 8 of them. The figure is a regular octagon.

There is insufficient information to answer the question. There is no indication that the octagon is regular and therefore, you may not assume that it is. Even it you were told that it is a regular octagon, there is still insufficient information: the answer will depend on what the 17.25 inch is a measure of - the diagonal of the octagon or its height (width).

If you can draw a line 1 inch long and divide it into 8 equal parts, then each of the segments would be an eighth of an inch long

Related questions

62

it willl be 11.4 because you are supposed to divide 114 with 10 wich equals 11.4.

A decagon is a 10-sided figure. If each side is 9.9 feet long, the perimeter of the decagon, which is the sum of all sides, is 10 x 9.9 feet or 99 feet.

Assuming a regular ten-sided shape, of which every side is the same length, each side will be 114/10 = 11.4 centimetres.

11.4 cm

Each side of a regular hexagon is the same as its radius - in this case 31 inches.

A decagon is a shape that has ten sides. As long as the figure has ten sides to it, then it is a decagon.

Each of the 10 sides of the decagon is 1.9314 inches long.

Each side of the 48 inch perimeter is 6 inches long, therefore there are 48 / 6 = 8 of them. The figure is a regular octagon.

There is insufficient information to answer the question. There is no indication that the octagon is regular and therefore, you may not assume that it is. Even it you were told that it is a regular octagon, there is still insufficient information: the answer will depend on what the 17.25 inch is a measure of - the diagonal of the octagon or its height (width).

If you can draw a line 1 inch long and divide it into 8 equal parts, then each of the segments would be an eighth of an inch long

This depends on the size of the pizza, The length of a slice is = the radius of the pizza which is half the diameter. i.e. a fourteen inch pizza will have roughly eighth slices that are each 7 inches long