Solve a problem

Area and perimeterGeometryMiddle schoolabout 0:43

Find the area of a regular hexagon with side 2: animated lesson

A narrated, step-by-step area and perimeter video lesson with captions. Final answer: Area = 10.39230485 square units; perimeter = 12 units.

SpeedLanguage

Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.3 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Worked example
Find the area of a regular hexagon with side 2.
2. Step by step
1. $a = \frac{s}{2\tan(\pi/6)} \approx 1.732050808$
  Apothem (centre to the middle of a side)
2. $A = \frac{1}{2} \cdot 6 \cdot 2 \cdot 1.732050808 \approx 10.39230485$
  Half the perimeter times the apothem
3. The answer
$A = 10.39230485$
A = 10.39230485
4. Check
- The area 10.39230485 is positive and in square units.

Transcript

The problem. Here is the problem: Find the area of a regular hexagon with side 2. Compute the area from the shape prime s dimensions, all in the same length unit; the area is in that unit squared.

Step by step. Apothem (centre to the middle of a side). Half the perimeter times the apothem.

The answer. So the answer is Area equals 10.39230485 square units; perimeter equals 12 units. Area measures how many unit squares fit inside a flat shape, so it is always in squared units such as cm squared or m squared.

Check. The area 10.39230485 is positive and in square units.

About area and perimeter

Find the area and perimeter of rectangles, triangles, sectors and other plane shapes.

Find the area of a regular hexagon with side 2 (Lesson)