IXL - Area of regular polygons (Geometry practice)

A regular hexagon with center

is shown below.

What is the area of the hexagon?

Round your answer to the nearest tenth.

square kilometers

ref_doc_title.

Learn with an example

An equilateral triangle with center

is shown below.

What is the area of the triangle?

Round your answer to the nearest tenth.

square inches

The area of a regular polygon can be found using this formula, where

is the perimeter and

is the apothem:

The apothem is the distance from the center of a regular polygon to a side.

You want to find the area of the triangle. You can see it has an apothem of 2 inches and a side length of

inches.

If you also find the perimeter,

then you can use the formula

to find the area.

The triangle has 3 sides. Multiply the side length by 3 to find the perimeter.

Now, use the formula for the area of a regular polygon.

20.784…

≈

Round to the nearest tenth

20.8

Round to the nearest tenth

To the nearest tenth, the area of the triangle is 20.8 square inches.

Looking for more? Try this:

$Confetti$

Now entering the Challenge Zone—are you ready?

hr	min	sec
00	00	06

Teacher tools

Work it out

Not feeling ready yet? These can help: