To find the length of one side of a regular nonagon (9-sided polygon) with an apothem (a line from the center of the polygon to the midpoint of one of its sides) of 10 cm, you can use the formula for the side length of a regular polygon:

s = 2a tan(π/n)

where:
s is the side length,
a is the apothem length, and
n is the number of sides.

Here, a = 10 cm and n = 9.

So, s = 2 * 10 * tan(π/9) = 20 * tan(π/9).

Now, you just need to calculate the value of tan(π/9) and multiply it by 20 to get the length of one side.

Please note that the value of π/9 should be in radians when calculating the tangent.

Question

To find the length of one side of a regular nonagon (9-sided polygon) with an apothem (a line from the center of the polygon to the midpoint of one of its sides) of 10 cm, you can use the formula for the side length of a regular polygon:

s = 2a tan(π/n)

where:
s is the side length,
a is the apothem length, and
n is the number of sides.

Here, a = 10 cm and n = 9.

So, s = 2 * 10 * tan(π/9) = 20 * tan(π/9).

Now, you just need to calculate the value of tan(π/9) and multiply it by 20 to get the length of one side.

Please note that the value of π/9 should be in radians when calculating the tangent.

Knowee AI · Accepted Answer

To find the length of one side of a regular nonagon (9-sided polygon) with an apothem (a line from the center of the polygon to the midpoint of one of its sides) of 10 cm, you can use the formula for the side length of a regular polygon:

s = 2a tan(π/n)

where:
s is the side length,
a is the apothem length, and
n is the number of sides.

Here, a = 10 cm and n = 9.

So, s = 2 * 10 * tan(π/9) = 20 * tan(π/9).

Now, you just need to calculate the value of tan(π/9) and multiply it by 20 to get the length of one side.

Please note that the value of π/9 should be in radians when calculating the tangent.

A regular nonagon has an apothem 10 cm. What is the length of one side?

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