# Area of a Regular Polygon 1

Let be the length of a side of a regular polygon of sides and be the center of the polygon.

As there are sides, similar triangles are formed.

Let be one of the triangles, then

and

Area of the regular polygon area of

The area of the regular polygon

But ,

Or

Or

the area of the regular polygon

Also, the perimeter of the polygon

__Example__

Find the cost of carpeting an octagonalÂ floor with sides measuring if the carpet costs Rs. per square meter.

__Solution__:

Here ,

Area

Area square meters.

the cost of carpeting Rupees.