130 LearnersLast updated on June 1st, 2025
Square of 225
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 225.
What is the Square of 225
The square of a number is the product of the number itself.
The square of 225 is 225 × 225.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 225², where 225 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 225 is 225 × 225 = 50625.
Square of 225 in exponential form: 225²
Square of 225 in arithmetic form: 225 × 225
How to Calculate the Value of Square of 225
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 225.
Step 1: Identify the number. Here, the number is 225.
Step 2: Multiplying the number by itself, we get, 225 × 225 = 50625.
The square of 225 is 50625.
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 225.
So: 225² = 225 × 225 = 50625
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 225.
Step 1: Enter the number in the calculator Enter 225 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 225 × 225.
Step 3: Press the equal to button to find the answer
Here, the square of 225 is 50625.
Tips and Tricks for the Square of 225
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 225
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 225² with (2 + 25)² or (200 + 25)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 225
Problem 1
Find the length of the square, where the area of the square is 50625 cm².
The area of a square = a² So, the area of a square = 50625 cm² So, the length = √50625 = 225. The length of each side = 225 cm
Explanation
The length of a square is 225 cm.
Because the area is 50625 cm², the length is √50625 = 225.
Problem 2
Lisa is planning to paint her square ceiling of length 225 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full ceiling?
The length of the ceiling = 225 feet The cost to paint 1 square foot of ceiling = 3 dollars. To find the total cost to paint, we find the area of the ceiling, Area of the ceiling = area of the square = a² Here a = 225 Therefore, the area of the ceiling = 225² = 225 × 225 = 50625. The cost to paint the ceiling = 50625 × 3 = 151875. The total cost = 151875 dollars
Explanation
To find the cost to paint the ceiling, we multiply the area of the ceiling by the cost to paint per foot.
So, the total cost is 151875 dollars.
Problem 3
Find the area of a circle whose radius is 225 meters.
The area of the circle = 159043.5 m²
Explanation
The area of a circle = πr²
Here, r = 225
Therefore, the area of the circle = π × 225² = 3.14 × 225 × 225 = 159043.5 m².
Problem 4
The area of the square is 225 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 225 cm²
The length of the side is √225 = 15
Perimeter of the square = 4a
Here, a = 15
Therefore, the perimeter = 4 × 15 = 60.
Problem 5
Find the square of 226.
The square of 226 is 51076
Explanation
The square of 226 is multiplying 226 by 226.
So, the square = 226 × 226 = 51076
FAQs on Square of 225
1.What is the square of 225?
2.What is the square root of 225?
3.Is 225 a perfect square?
4.What are the first few multiples of 225?
5.What is the square of 224?
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 225?
8.How do technology and digital tools in United States support learning Algebra and Square of 225?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 225.
- Perfect square: A number that is the square of an integer. For example, 225 is a perfect square because it is 15 squared.
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 225² where 225 is the base and 2 is the power.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Square: The result of multiplying a number by itself. For example, the square of 225 is 50625.
- Area: The amount of space inside a shape, usually measured in square units. For example, the area of a square with sides of length 225 is 50625 cm².
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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.
Fun Fact
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