Area

In mathematics, area is a basic concept used to measure the space of a two-dimensional shape. In school geometry, as in everyday life, such as painting a wall, laying flooring, or planning a landscape, area can be used to approximate materials, expenses and space use.

Area is expressed in square units such as cm², m², or ft². Knowing what an area is, how to calculate it, and the area of geometric shapes is essential for students to solve both academic and practical problems effectively. Students can learn the meaning of area, step-by-step calculation methods, formulas for common shapes, and the difference between area and perimeter.

Read More: (a + b)³ Formula

What is the Meaning of Area?

In mathematics, area is defined as the area of a two-dimensional object as the sum of all the surface space contained by the sides of a figure. It tells us how much space a shape occupies.

Key Points About Area:

• Measurement of area is two-dimensional.

• Measured in square units like cm², m², or ft².

• Applies to flat shapes like squares, rectangles, circles, triangles, and more.

Understanding the meaning of area helps students relate math concepts to practical situations like flooring, fencing, or gardening.

Enroll Now for Maths Online Classes

How to Calculate Area in Maths?

Learning how to calculate area is essential for geometry and real-life problem-solving. The method depends on the shape.

Steps to Calculate Area:

1. Identify the shape.

2. Measure required dimensions (length, width, radius, or height).

3. Apply the correct formula.

4. Express the result in square units.

Example Formulas:

• Rectangle: Area = Length × Breadth

• Circle: Area = π × r²

Understanding these methods ensures students can calculate the area of geometric shapes accurately.

Area of a Square

A square has four equal sides and right angles. The area of a square is calculated by squaring the length of one side.

Formula: Area = Side × Side = s²

Example: If a square has side = 5 cm:

Area = 5 × 5 = 25 cm²

This is one of the simplest area of shapes formulas used in mathematics.

Area of a Rectangle

A rectangle has opposite sides equal and four right angles. Its area of a rectangle is found by multiplying the length and breadth.

Formula: Area = Length × Breadth

Example: Length = 8 cm, Breadth = 3 cm

Area = 8 × 3 = 24 cm²

This formula is widely used in calculating the area of geometric shapes in school and daily applications.

Area of a Circle

A circle is a round shape defined by its radius. The area is calculated using the constant π (pi ≈ 3.1416).

Formula: Area = π × r²

Example: Radius = 7 cm

Area = 3.1416 × 7² 

= 3.1416 × 49 

≈ 153.94 cm²

This formula helps calculate circular spaces like gardens, plates, or circular tracks.

Read More; Area of Semicircle

Area of Geometric Shapes Formula

The table below provides common geometric shapes and their area formulas, helping students calculate areas accurately and efficiently. Using these formulas makes problem-solving easier and strengthens understanding of geometry.

Difference Between Perimeter and Area

It is important to know the distinction between area and perimeter. Area is used to measure the amount of space a shape occupies, and perimeter is used to measure the total distance of the shape. This distinction is important for construction, design, and mathematical problems.

Also Read: Surface Area of A Cube

Help Your Child Improve Speed and Confidence in Maths with CuriousJr

Does your child struggle with maths or take extra time to solve problems? These difficulties can lower confidence and affect school performance. CuriousJr’s Online Mental Maths Classes make learning maths easier, faster, and more fun for every student.

CuriousJr helps your child succeed in maths by:

• Providing step-by-step instructions based on the level of learning of your child.

• Simple and interactive teaching on subjects that enhance logical thinking and problem-solving.

• Sharing 50+ smart tricks to solve maths questions quickly and accurately.

• Using visual and practical methods to make concepts easy to understand.

• Including fun games, quizzes, and rewards to make learning enjoyable every day.

• Providing live sessions with expert mentors to clear doubts and homework questions.

• Giving regular progress updates so parents can track improvement.

• Strengthening basics to help students perform better in school exams.

With CuriousJr, your child can gain confidence, increase speed, and enjoy learning maths while developing a lifelong love for numbers.