

What Are the Main Types of 2D Shapes in Maths?
The concept of 2D shapes plays a key role in mathematics and is widely applicable to both real-life situations and exam scenarios. Understanding 2D shapes helps students visually identify, compare, and classify objects found in day-to-day life, as well as solve geometry questions efficiently.
What Is 2D Shape?
A 2D shape is a flat geometric figure that has only two dimensions: length and width. These shapes lie entirely on a single plane and have no thickness or depth. You’ll find this concept applied in areas such as plane geometry, coordinate geometry, art, and architecture.
Common 2D Shapes and Their Properties
Here is a list of most common 2D shapes, their main properties, and simple real-life examples:
2D Shape | Properties | Example |
---|---|---|
Circle | No sides, constant radius, curves around a center | Coins, wheels |
Triangle | 3 sides, 3 vertices, sum of angles 180° | Road signs, pyramids (as faces) |
Square | 4 equal sides, 4 right angles, all angles 90° | Tiles, chessboards |
Rectangle | Opposite sides equal, 4 right angles | Books, TV screens |
Pentagon | 5 sides and angles, can be regular or irregular | The Pentagon Building (regular), home plates in baseball |
Hexagon | 6 sides and angles, can be regular or irregular | Honeycomb cells |
Octagon | 8 sides and angles, usually regular | STOP sign |
Difference Between 2D and 3D Shapes
2D Shape | 3D Shape |
---|---|
Flat, has length & width only | Solid, has length, width & height (depth) |
Cannot hold volume | Has volume or capacity |
Drawn on paper or plane | Occupies space |
Examples: square, circle | Examples: cube, sphere |
Area and Perimeter Formulas for 2D Shapes
Knowing the area and perimeter formulas of 2D shapes is essential for solving questions. See the table below:
2D Shape | Area Formula | Perimeter Formula |
---|---|---|
Square | side × side | 4 × side |
Rectangle | length × breadth | 2 × (length + breadth) |
Triangle | ½ × base × height | sum of all sides |
Circle | π × radius² | 2 × π × radius |
Step-by-Step Illustration—Solved Example
Question: Find the area of a rectangle with length 13 cm and breadth 7 cm.
1. Formula: Area = length × breadth2. Substitute values: Area = 13 × 7
3. Calculate: 13 × 7 = 91
4. Final Answer: Area = 91 cm²
2D Shapes in Everyday Life
- Coins and clock faces are circles
- Doors and windows are rectangles
- Chess boards and tiles are squares
- Traffic signs (STOP) are octagons
- Honeycomb cells are hexagons
Try These Yourself
- Draw a triangle and label its sides and angles.
- Find the perimeter of a square with side 6 cm.
- Spot five 2D shapes at home or school and name them.
- Calculate the area of a rectangle 5 cm by 8 cm.
Frequent Errors and Misunderstandings
- Mistaking 2D shapes for their 3D counterparts (e.g., saying “cube” instead of “square”)
- Confusing the number of sides with angles
- Forgetting the formula for area or perimeter during exams
Relation to Other Concepts
The idea of 2D shapes connects closely with topics such as polygons and types of angles. Mastering this helps you understand 3D shapes and volume in later classes.
Classroom Tip
A quick way to remember 2D shapes is: “2D” means only TWO dimensions—Length and Width! Vedantu’s teachers often use drawing games and flashcards to help students memorize side counts and properties of each shape.
Further Reading and Related Topics
- 3D Shapes
- Polygon
- Circle
- Plane Figures and Solid Shapes
- Area of Shapes
- Shapes for Kids
- Perimeter and Area of Plane Figures
- Types of Polygon
We explored 2D shapes—from definition, formula, key properties, solved examples, and how they appear in daily life, to their link with polygons and advanced geometry. Continue practicing with Vedantu to become confident in identifying and solving all shape-related questions!
FAQs on 2D Shapes Explained with Examples and Diagrams
1. What is a 2D shape in maths?
A 2D shape, or two-dimensional shape, is a flat figure that only has two dimensions: length and width. It has no depth or thickness. Examples include circles, squares, rectangles, and triangles.
2. What are some common examples of 2D shapes?
Common 2D shapes include:
- Circle
- Square
- Rectangle
- Triangle
- Pentagon
- Hexagon
- Octagon
- Parallelogram
- Rhombus
- Trapezoid
3. How are 2D and 3D shapes different?
The key difference lies in their dimensions: 2D shapes are flat and have only length and width, while 3D shapes (three-dimensional shapes) are solid objects possessing length, width, and depth (or height). Think of a square (2D) versus a cube (3D).
4. What are the properties of a square?
A square is a quadrilateral with four equal sides and four right angles (90°). It has four lines of symmetry and its diagonals are equal and bisect each other at right angles.
5. What are the properties of a rectangle?
A rectangle is a quadrilateral with opposite sides equal and parallel and four right angles (90°). It has two lines of symmetry and its diagonals are equal and bisect each other.
6. What are the properties of a triangle?
A triangle is a polygon with three sides and three angles. The sum of its angles always equals 180°. Triangles can be classified by their sides (equilateral, isosceles, scalene) or their angles (acute, right-angled, obtuse).
7. What is the difference between a rhombus and a square?
Both a rhombus and a square are quadrilaterals with four equal sides. However, a square has four right angles (90°), while a rhombus does not necessarily have right angles; its angles can vary.
8. What is a polygon?
A polygon is a closed two-dimensional figure formed by joining three or more line segments. Polygons are classified based on the number of sides (e.g., triangle, quadrilateral, pentagon, hexagon).
9. How do you calculate the area of a rectangle?
The area of a rectangle is calculated by multiplying its length by its width: Area = Length x Width.
10. How do you calculate the perimeter of a square?
The perimeter of a square is calculated by multiplying the length of one side by four: Perimeter = 4 x side.
11. What are some real-world examples of 2D shapes?
2D shapes are found everywhere! Think of a pizza (circle), a window pane (rectangle), a stop sign (octagon), or the surface of a table (rectangle or square).
12. What is the difference between perimeter and area?
Perimeter is the total distance around the outside of a 2D shape. Area is the amount of space inside the 2D shape.





