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 491.
The square of a number is the product of the number itself.
The square of 491 is 491 × 491.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as (4912), where 491 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive. For example, (52 = 25); ((-5)2 = 25).
The square of 491 is 491 × 491 = 241081.
Square of 491 in exponential form: (4912)
Square of 491 in arithmetic form: 491 × 491
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 491.
Step 1: Identify the number. Here, the number is 491.
Step 2: Multiplying the number by itself, we get, 491 × 491 = 241081.
The square of 491 is 241081.
In this method, the formula, \(a^2\) 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 491.
So: (4912 = 491 × 491 = 241081)
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 491.
Step 1: Enter the number in the calculator. Enter 491 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 491 × 491.
Step 3: Press the equal to button to find the answer. Here, the square of 491 is 241081.
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 is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.
A garden is shaped like a square, and its area is 241081 square meters. Find the length of each side of the garden.
The area of a square = (a2)
So, the area of a square = 241081 m²
So, the length = (sqrt{241081} = 491).
The length of each side = 491 m
The length of a square garden is 491 meters.
Because the area is 241081 m², the length is (sqrt{241081} = 491).
A mural is being painted on a square wall of length 491 feet. The cost to paint a foot is 5 dollars. How much will it cost to paint the entire mural?
The length of the wall = 491 feet
The cost to paint 1 square foot of the 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 = 491)
Therefore, the area of the wall = (4912 = 491 × 491 = 241081).
The cost to paint the wall = 241081 × 5 = 1205405.
The total cost = 1205405 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 1205405 dollars.
Find the area of a circle whose radius is 491 meters.
The area of the circle = 757912.34 m²
The area of a circle = (pi r2)
Here, (r = 491)
Therefore, the area of the circle = (pi × 4912) = 3.14 × 491 × 491 = 757912.34 m².
The area of the square is 241081 m². Find the perimeter of the square.
The perimeter of the square is
The area of the square = (a2)
Here, the area is 241081 m²
The length of the side is (sqrt{241081} = 491).
Perimeter of the square = 4a
Here, (a = 491)
Therefore, the perimeter = 4 × 491 = 1964.
Find the square of 492.
The square of 492 is 242064
The square of 492 is multiplying 492 by 492.
So, the square = 492 × 492 = 242064
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.