115 LearnersLast updated on May 27th, 2025
Square of 1080
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 1080.
What is the Square of 1080
The square of a number is the product of the number itself.
The square of 1080 is 1080 × 1080.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1080², where 1080 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 1080 is 1080 × 1080 = 1166400.
Square of 1080 in exponential form: 1080²
Square of 1080 in arithmetic form: 1080 × 1080
How to Calculate the Value of Square of 1080
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.
- By Multiplication Method
- Using a Formula (a2)
- Using a Calculator
By the Multiplication method
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 1080
Step 1: Identify the number. Here, the number is 1080
Step 2: Multiplying the number by itself, we get, 1080 × 1080 = 1166400.
The square of 1080 is 1166400.
Using a Formula (a²)
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 1080 So: 1080² = 1080 × 1080 = 1166400
By Using a Calculator
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 1080.
Step 1: Enter the number in the calculator Enter 1080 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1080 × 1080
Step 3: Press the equal to button to find the answer Here, the square of 1080 is 1166400.
Tips and Tricks for the Square of 1080
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.
- The square of an even number is always an even number. For example, 6² = 36
- The square of an odd number is always an odd number. For example, 5² = 25
- The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9.
- If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2
- The square root of a perfect square is always a whole number. For example, √144 = 12.
Common Mistakes to Avoid When Calculating the Square of 1080
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.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, students should double-check the answer. They can double-check by finding the square root of the solution they found.
For example, the square of 25 is 625, and the square root of 625 is ±25.
Solved Examples on Square of 1080
Problem 1
Find the length of the square, where the area of the square is 1166400 cm².
The area of a square = a²
So, the area of a square = 1166400 cm²
So, the length = √1166400 = 1080.
The length of each side = 1080 cm
Explanation
The length of a square is 1080 cm because the area is 1166400 cm²; the length is √1166400 = 1080.
Problem 2
Tom is planning to paint his square wall of length 1080 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 1080 feet
The cost to paint 1 square foot of the wall = 3 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 = 1080
Therefore, the area of the wall = 1080² = 1080 × 1080 = 1166400.
The cost to paint the wall = 1166400 × 3 = 3499200.
The total cost = 3499200 dollars
Explanation
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 3499200 dollars.
Problem 3
Find the area of a circle whose radius is 1080 meters.
The area of the circle = 3,665,280 m²
Explanation
The area of a circle = πr²
Here, r = 1080
Therefore, the area of the circle = π × 1080² = 3.14 × 1080 × 1080 = 3,665,280 m².
Problem 4
The area of the square is 1166400 cm². Find the perimeter of the square.
The perimeter of the square is 4320 cm.
Explanation
The area of the square = a²
Here, the area is 1166400 cm²
The length of the side is √1166400 = 1080
Perimeter of the square = 4a
Here, a = 1080
Therefore, the perimeter = 4 × 1080 = 4320.
Problem 5
Find the square of 1081.
The square of 1081 is 1168561
Explanation
The square of 1081 is multiplying 1081 by 1081.
So, the square = 1081 × 1081 = 1168561
FAQs on Square of 1080
1.What is the square of 1080?
2.What is the square root of 1080?
3.Is 1080 a perfect square?
4.What are the first few multiples of 1080?
5.What is the square of 1079?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 1080?
8.How do technology and digital tools in United States support learning Algebra and Square of 1080?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 1080.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square of 12.
- Exponent: An exponent refers to the number of times a number is multiplied by itself. For example, in 1080², 2 is the exponent.
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, etc.
- Whole number: A non-negative integer. Examples include 0, 1, 2, 3, etc.
- Inverse operation: An operation that reverses the effect of another operation. For example, addition and subtraction are inverse operations.
Explore More algebra
Previous to Square of 1080
About BrightChamps in United States
Jaskaran Singh Saluja
About the Author
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.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
