118 LearnersLast updated on May 26th, 2025
Square of 180
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 the topic, we will discuss the square of 180.
What is the Square of 180
The square of a number is the product of the number itself. The square of 180 is 180 × 180. The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 180², where 180 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 180 is 180 × 180 = 32400. Square of 180 in exponential form: 180² Square of 180 in arithmetic form: 180 × 180
How to Calculate the Value of Square of 180
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
- 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 180
Step 1: Identify the number. Here, the number is 180
Step 2: Multiplying the number by itself, we get, 180 × 180 = 32400. The square of 180 is 32400.
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 180 So: 180² = 180 × 180 = 32400
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 180.
Step 1: Enter the number in the calculator Enter 180 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 180 × 180
Step 3: Press the equal to button to find the answer Here, the square of 180 is 32400.
Tips and Tricks for the Square of 180 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 180
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.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 180² with (1 + 8 + 0)² or (100 + 80)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25, and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses. And do the operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 180
Problem 1
Find the length of the square, where the area of the square is 32400 cm².
The area of a square = a² So, the area of a square = 32400 cm² So, the length = √32400 = 180. The length of each side = 180 cm
Explanation
The length of a square is 180 cm.
Because the area is 32400 cm², the length is √32400 = 180.
Problem 2
Anna is building a square garden with a side length of 180 feet. The cost to fence a foot is 5 dollars. Then how much will it cost to fence the full garden?
The length of the garden = 180 feet The cost to fence 1 foot of garden = 5 dollars. To find the total cost to fence, we find the perimeter of the garden, Perimeter of the garden = 4a Here a = 180 Therefore, the perimeter of the garden = 4 × 180 = 720. The cost to fence the garden = 720 × 5 = 3600. The total cost = 3600 dollars
Explanation
To find the cost to fence the garden, we multiply the perimeter of the garden by the cost to fence per foot.
So, the total cost is 3600 dollars.
Problem 3
Find the area of a circle whose radius is 180 meters.
The area of the circle = 101736 m²
Explanation
The area of a circle = πr²
Here, r = 180
Therefore, the area of the circle = π × 180²
= 3.14 × 180 × 180
= 101736 m².
Problem 4
The area of the square is 32400 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 32400 cm²
The length of the side is √32400 = 180
Perimeter of the square = 4a
Here, a = 180
Therefore, the perimeter = 4 × 180 = 720.
Problem 5
Find the square of 181.
The square of 181 is 32761
Explanation
The square of 181 is multiplying 181 by 181.
So, the square = 181 × 181 = 32761
FAQs on Square of 180
1.What is the square of 180?
2.What is the square root of 180?
3.Is 180 a prime number?
4.What are the first few multiples of 180?
5.What is the square of 181?
6.How does learning Algebra help students in United States make better decisions in daily life?
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9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 180.
- Perfect square: A number that is the square of an integer. For example, 32400 is a perfect square.
- Exponential form: The way of writing a number as a base raised to a power. For example, 180² where 180 is the base and 2 is the power.
- Square root: The inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Perimeter: The total length around a two-dimensional shape, such as the boundary of a square.
- Circle area: The area enclosed by a circle, calculated using the formula πr².
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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.
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