131 LearnersLast updated on May 27th, 2025
Square of 3721
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 3721.
What is the Square of 3721
The square of a number is the product of the number by itself.
The square of 3721 is 3721 × 3721.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 3721², where 3721 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 3721 is 3721 × 3721 = 13,847,041.
Square of 3721 in exponential form: 3721²
Square of 3721 in arithmetic form: 3721 × 3721
How to Calculate the Value of Square of 3721
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 3721.
Step 1: Identify the number. Here, the number is 3721.
Step 2: Multiplying the number by itself, we get, 3721 × 3721 = 13,847,041.
The square of 3721 is 13,847,041.
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 3721 So: 3721² = 3721 × 3721 = 13,847,041
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 3721.
Step 1: Enter the number in the calculator Enter 3721 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 3721 × 3721
Step 3: Press the equal to button to find the answer Here, the square of 3721 is 13,847,041.
Tips and Tricks for the Square of 3721
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 3721
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 3721² with (3 + 7 + 2 + 1)² or (3700 + 21)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 3721
Problem 1
Find the length of the square, where the area of the square is 13,847,041 cm².
The area of a square = a²
So, the area of a square = 13,847,041 cm²
So, the length = √13,847,041 = 3721.
The length of each side = 3721 cm
Explanation
The length of a square is 3721 cm.
Because the area is 13,847,041 cm² the length is √13,847,041 = 3721.
Problem 2
Sarah wants to install a square-shaped garden with a length of 3721 feet. The cost to install per square foot is 5 dollars. How much will it cost to install the entire garden?
The length of the garden = 3721 feet
The cost to install 1 square foot of garden = 5 dollars.
To find the total cost to install, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 3721
Therefore, the area of the garden = 3721² = 13,847,041.
The cost to install the garden = 13,847,041 × 5 = 69,235,205.
The total cost = 69,235,205 dollars
Explanation
To find the cost to install the garden, we multiply the area of the garden by the cost to install per foot.
So, the total cost is 69,235,205 dollars.
Problem 3
Find the area of a circle whose radius is 3721 meters.
The area of the circle = 43,478,484.22 m²
Explanation
The area of a circle = πr²
Here, r = 3721
Therefore, the area of the circle = π × 3721² = 3.14 × 3721 × 3721 = 43,478,484.22 m².
Problem 4
The area of the square is 13,847,041 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 13,847,041 cm²
The length of the side is √13,847,041 = 3721
Perimeter of the square = 4a
Here, a = 3721
Therefore, the perimeter = 4 × 3721 = 14,884.
Problem 5
Find the square of 3722.
The square of 3722 is 13,855,684
Explanation
The square of 3722 is multiplying 3722 by 3722.
So, the square = 3722 × 3722 = 13,855,684
FAQs on Square of 3721
1.What is the square of 3721?
2.What is the square root of 3721?
3.Is 3721 a perfect square?
4.What are the first few multiples of 3721?
5.What is the square of 3720?
6.How does learning Algebra help students in Philippines make better decisions in daily life?
7.How can cultural or local activities in Philippines support learning Algebra topics such as Square of 3721?
8.How do technology and digital tools in Philippines support learning Algebra and Square of 3721?
9.Does learning Algebra support future career opportunities for students in Philippines?
Important Glossaries for Square 3721
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Exponent: The power to which a number is raised in an expression. For example, in 9², 2 is the exponent.
- Square root: The inverse operation of squaring a number; the square root of a number is a value that, when multiplied by itself, gives the original number.
- Perimeter: The total length of the sides of a two-dimensional shape. For example, the perimeter of a square is 4 times the length of one side.
- Area: The amount of space inside a two-dimensional shape, measured in square units. For example, the area of a square is side².
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 3721
About BrightChamps in Philippines
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.
