# Author: varsha vihan

Diagonals in Geometry In geometry, diagonals refer to line segments that connect non-adjacent vertices of a polygon. The term is commonly used in the context of polygons, and the number of diagonals depends on the number of sides the polygon has. H Diagonals of Different Polygons Triangle: A triangle has no diagonals because all of its vertices are adjacent, and there are no non-adjacent vertices to connect. Quadrilateral (Square, Rectangle, Parallelogram): A quadrilateral has two diagonals connecting non-adjacent vertices. Pentagon: A pentagon has five vertices, and each vertex can be connected to any non-adjacent vertex by a diagonal. Therefore, a…

What Is the Area of 2D Shapes? The area of a two-dimensional (2D) shape is the measure of the extent of the surface enclosed by the shape. It quantifies the amount of space inside the boundaries of the shape and is expressed in square units. The formula for calculating the area depends on the type of 2D shape. Area of a Rectangle Area=length × width Example: If a rectangle has a length of 6 units and a width of 4 units, the area is 6×4=24 square units. Area of a Square: Area=$$side×side$$ or  $$\text{Area} = \text{side}^2$$ Example: For a…

What is an Addend in Math? Addends in math refer to the numbers or terms that are added together to find their sum. When performing addition, the numbers being added are called addends. For example, in the addition problem 3 + 5 = 8, the numbers 3 and 5 are the addends, and 8 is the sum. Solved Examples on Addend Example 1: Find the sum of the addends in the expression 6 + x when x = 3. Solution: Substitute x = 3 into the expression: 6 + x = 6 + 3 = 9 So, the sum of…

What is Arc in Math? An arc in mathematics is a segment of a curve, specifically a portion of the circumference of a circle or an ellipse. It is defined by two endpoints and all the points on the curve between them. The length of an arc is typically measured in terms of the angle it subtends at the center of the circle or ellipse. How to Make an Arc Creating an arc involves specifying its starting and ending points. Here are the basic steps: Draw a Circle or Ellipse: Start by drawing a circle or ellipse. Use a compass…

Multiples are a fundamental concept in mathematics, playing a crucial role in various mathematical disciplines and real-world applications. In this article, we will delve into the intricate details of multiples, exploring their definition, properties, and significance. What are Multiples? In the realm of mathematics, multiples are numbers that can be evenly divided by another number without leaving a remainder. To put it simply, if a number AA is a multiple of another number B, then B can be multiplied by an integer to yield A. For instance, 6 is a multiple of 3 because 3×2 = 6. Key Characteristics of…

Geometry is a fascinating realm of mathematics, filled with intriguing concepts and angles that shape our understanding of space and form. In this article, we embark on an in-depth exploration of acute angles, covering their definition, degree measurement, visual representations, mathematical formulas, practical examples, properties within triangles, real-world applications, and the crucial distinctions between acute and obtuse angles. Acute Angle Definition: An acute angle is an angle that measures less than 90 degrees. In other words, it is an angle whose magnitude is smaller than a right angle. For example, an angle measuring 20 degrees, 75 degrees, or 89 degrees…

Perfect squares, an intriguing aspect of number theory, are integers that result from multiplying a whole number by itself. In this comprehensive article, we will delve into the definition, explore a list of perfect squares, examine a chart illustrating their patterns, and provide illustrative examples. Join us on this journey through the realm of perfect squares and discover the mathematical elegance they bring to the table. Definition of Perfect Squares A perfect square is a number that can be expressed as the product of an integer multiplied by itself. In mathematical terms, it takes the form $$n \times n$$, where…

What are Factors? Factors are the integers that can be multiplied together to produce a given number. In simpler terms, factors are the building blocks or divisors of a number. Every whole number has at least two factors: 1 and the number itself. Example: Factors of 24 The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. Factor pairs: (1, 24), (2, 12), (3, 8), (4, 6). How to Find Factors of a Number? Finding Factors of a Number: A Step-by-Step Guide Finding the factors of a number involves identifying all the whole numbers that can…

In the realm of number theory, the Highest Common Factor (HCF) stands as a key concept, holding the power to unlock the secrets of divisibility and commonality among numbers. In this comprehensive guide, we delve into the definition of HCF and unravel the methods to find it, providing you with a thorough understanding of this fundamental mathematical principle. Definition of Highest Common Factor The Highest Common Factor, also known as the Greatest Common Divisor (GCD), is the largest positive integer that divides two or more numbers without leaving a remainder. Symbolized as $$\text{HCF}(a, b)$$ for two numbers a and b,…

The Square-Cube Law is a fundamental principle in physics and biology that explores the relationships between the size and volume of objects. This law, often applied to biological organisms and structures, illuminates the consequences of changes in scale. In this detailed tutorial, we will delve into the Square-Cube Law, examining its mathematical formulation, real-world applications, and implications across different disciplines. The Square-Cube Law Explained Mathematical Formulation: The Square-Cube Law is a mathematical relationship that emerges when comparing the surface area (A) and volume (V) of a three-dimensional object as its size changes. Formally, if the size of an object is…