To find the length of the apothem of a regular pentagon with a given radius, we can use the formula for the apothem (a) of a regular polygon:

a = r * cos(π/n)

where:
- r is the radius of the polygon, and
- n is the number of sides of the polygon.

For a regular pentagon, n = 5.

So, the apothem a = 11m * cos(π/5).

Now, calculate the value of cos(π/5) and multiply it by 11m to get the length of the apothem.

Question

To find the length of the apothem of a regular pentagon with a given radius, we can use the formula for the apothem (a) of a regular polygon:

a = r * cos(π/n)

where:
- r is the radius of the polygon, and
- n is the number of sides of the polygon.

For a regular pentagon, n = 5.

So, the apothem a = 11m * cos(π/5).

Now, calculate the value of cos(π/5) and multiply it by 11m to get the length of the apothem.

Knowee AI · Accepted Answer

To find the length of the apothem of a regular pentagon with a given radius, we can use the formula for the apothem (a) of a regular polygon:

a = r * cos(π/n)

where:
- r is the radius of the polygon, and
- n is the number of sides of the polygon.

For a regular pentagon, n = 5.

So, the apothem a = 11m * cos(π/5).

Now, calculate the value of cos(π/5) and multiply it by 11m to get the length of the apothem.

The radius of a regular pentagon is 11 m. What is the length of its apothem?