Last updated on June 2nd, 2025
The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 492.
The square of a number is the product of the number itself.
The square of 492 is 492 × 492.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 492², where 492 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive. For example, 5² = 25; -5² = 25.
The square of 492 is 492 × 492 = 242,064.
Square of 492 in exponential form: 492²
Square of 492 in arithmetic form: 492 × 492
The square of a number is multiplying the number by itself. So let’s learn how to find the square of a number. These are the common methods used to find the square of a number.
In this method, we will multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 492.
Step 1: Identify the number. Here, the number is 492.
Step 2: Multiplying the number by itself, we get, 492 × 492 = 242,064.
The square of 492 is 242,064.
In this method, the formula, a² is used to find the square of the number, where a is the number.
Step 1: Understanding the equation Square of a number = a²
a² = a × a
Step 2: Identifying the number and substituting the value in the equation.
Here, ‘a’ is 492.
So: 492² = 492 × 492 = 242,064
Using a calculator to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of 492.
Step 1: Enter the number in the calculator. Enter 492 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 492 × 492.
Step 3: Press the equal to button to find the answer. Here, the square of 492 is 242,064.
Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students.
Mistakes are common among kids when doing math, especially when it comes to finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.
Find the side length of a square, where the area of the square is 242,064 cm².
The area of a square = a²
So, the area of a square = 242,064 cm²
So, the length = √242,064 = 492.
The length of each side = 492 cm
The length of a square is 492 cm.
Because the area is 242,064 cm², the length is √242,064 = 492.
Emily is planning to paint her square garden wall of length 492 feet. The cost to paint a square foot is 5 dollars. How much will it cost to paint the full wall?
The length of the wall = 492 feet
The cost to paint 1 square foot of wall = 5 dollars.
To find the total cost to paint, we find the area of the wall.
Area of the wall = area of the square = a²
Here a = 492
Therefore, the area of the wall = 492² = 492 × 492 = 242,064.
The cost to paint the wall = 242,064 × 5 = 1,210,320.
The total cost = 1,210,320 dollars
To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot. So, the total cost is 1,210,320 dollars.
Find the area of a circle whose radius is 492 meters.
The area of the circle = 760,864.56 m²
The area of a circle = πr²
Here, r = 492
Therefore, the area of the circle = π × 492² = 3.14 × 492 × 492 = 760,864.56 m².
The area of a square is 242,064 cm². Find the perimeter of the square.
The perimeter of the square is 1,968 cm.
The area of the square = a²
Here, the area is 242,064 cm²
The length of the side is √242,064 = 492
Perimeter of the square = 4a
Here, a = 492
Therefore, the perimeter = 4 × 492 = 1,968 cm.
Find the square of 493.
The square of 493 is 243,049.
The square of 493 is multiplying 493 by 493.
So, the square = 493 × 493 = 243,049
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
: He loves to play the quiz with kids through algebra to make kids love it.