Mastering Geometry Formulas Made Easy with Cuemath's Online Learning Platform

April 18, 234 min read

Math is a game of numbers that requires diligent practice. Recall the times in early school years when students were first asked to bring a geometry box to class. Those were the days when learning about geometry started with a metal box with a compass and scale. However, as students climb the ladder in their school life, the world of mathematics opens like a universe of possibilities and exciting riddles. Similarly, geometry has become more than a compass or a metal box; it is more about the formulas now. Although it is a topic only some students are comfortable with, those who enjoy it need assistance and guidance to reach their full potential.

Higher-standard students require proper assistance with the ncert Maths Class 8 and maths class 7 syllabus to clear their basic concepts for pursuing maths in their higher education. When it comes to concepts such as geometry, students need to refine their ability to visualise 2D and 3D shapes. Although, it is not an easy nut to crack if students aren’t transparent with geometry formulas. To successfully score good marks in maths exams, one must master geometry formulas that cover a significant portion of annual examinations. Ergo, keep reading to start your journey of mastering geometry formulas with cue maths’ online learning platform for covering online math class 6, maths class 7, and ncert maths class 8 syllabus with ease today!

Introduction to Geometry Formulas

Geometry formulas are used in many aspects of our lives while dealing with shapes and sizes. For example, look around yourself, and you will see skyscrapers and well-crafted buildings, or you must have heard of London Bridge and come across some beautifully designed sculptures. All these things are possible with the help of geometry formulas utilised in various fields, including science, engineering, art, and architecture. Online math classes can help students cover online math class 6, maths class 7, and ncert maths class 8 syllabus with a better understanding of geometry.

Measurement: Measure the amount of space enclosed by a constitution. Perimeter and area of 2D shapes:

Circumference: Total length of the boundary of a form.
Triangle: Perimeter = sum of the lengths of all three sides, Area = 1/2 × base × height or by Heron's formula for more complex cases.
Rectangle: Perimeter = 2 × (length + width), Area = length × width.
Square: Perimeter = 4 × side length, Area = side length × side length.
Parallelogram: Perimeter = 2 × (base + side), Area = base × height.
Circle: Perimeter = 2 × π × radius (also called circumference), Area = π × radius^2

Volume and surface area of 3D shapes:

Cubes and cuboids: Volume = length × width × height, Surface area = 2(length × width + length × height + width × height)
Cylinders: Volume = πr^2 × height, Surface area = 2πr(r + height)
Cones: Volume = 1/3πr^2 × height, Surface area = πr(r + √(r^2 + height^2))
Spheres: Volume = 4/3πr^3, Surface area = 4πr^2

Angles and their measurements:

Angle: Formed by two rays with a common endpoint called the vertex. It was measured in degrees using a protractor.
Types of angles: Acute angle (<90 degrees), Right angle (90 degrees), Obtuse angle (>90 degrees), Straight angle (180 degrees).
Angle relationships: Complementary angles (two angles whose sum is 90 degrees), Supplementary angles (two angles whose sum is 180 degrees), Vertical angles (opposite angles formed by intersecting lines are equal).

Lines and line segments:

Bar: Infinite set of points that extends infinitely in both directions.
Line segment: Finite portion of a string with two endpoints.
Types of lines: Parallel lines (lines that never intersect), Perpendicular lines (lines that intersect at a right angle), and Intersecting lines (lines that cross each other at a point).

Polygons and their properties:

Polygon: Closed figure made up of line segments.
Types of polygons: Triangle (3 sides), Quadrilateral (4 sides), Pentagon (5 sides), Hexagon (6 sides), Octagon (8 sides), etc.
Properties of polygons: Interior angles (sum of arches inside a polygon), Exterior angles (angle formed between one side of a polygon and the extension of another side), Regular polygons (all sides and angles are equal).

Coordinate geometry:

Coordinate plane: Two-dimensional plane with the x-axis (horizontal) and y-axis (vertical).
Distance formula: Calculates the distance between two points in a coordinate plane using the square root of the sum of the squares of the differences in x and y coordinates.
Midpoint formula: Calculates the coordinates of the midpoint of a line segment using the average of the x and y coordinates of the endpoints.
The slope of a line: Measures the steepness of a line and is calculated as the ratio of the difference in y-coordinates to the difference in x-coordinates.

How Can Online Math Classes Help with Geometry Formulas?

Online math classes can help students in covering online math class 6, maths class 7, and ncert maths class 8 syllabus with live lectures where students can seek clarity on their doubts, can practice maths questions with a range of resources, and get personalised one-on-one classes with professionally trained maths tutors online.

Cuemath is a math learning platform designed to help students of all ages and skill levels master mathematical concepts and skills with their online math classes. Their Geometry course is specifically designed to make learning Geometry formulas easy. With Cuemath's online math classes for geometry, students can access various interactive tools and resources to help them understand Geometry concepts.