BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon117 Learners

Last updated on May 27th, 2025

Math Whiteboard Illustration

Square of 3721

Professor Greenline Explaining Math Concepts

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.

Square of 3721 for Filipino Students
Professor Greenline from BrightChamps

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

square of 3721

Professor Greenline from BrightChamps

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
Professor Greenline from BrightChamps

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.

Professor Greenline from BrightChamps

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

Professor Greenline from BrightChamps

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.

Professor Greenline from BrightChamps

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.
Max Pointing Out Common Math Mistakes

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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Calculation errors:

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

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.

Max from BrightChamps Saying "Hey"

Solved Examples on Square of 3721

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Find the length of the square, where the area of the square is 13,847,041 cm².

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

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.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

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?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

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.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

Find the area of a circle whose radius is 3721 meters.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

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.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

The area of the square is 13,847,041 cm². Find the perimeter of the square.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

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.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Find the square of 3722.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

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

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Square of 3721

1.What is the square of 3721?

Math FAQ Answers Dropdown Arrow

2.What is the square root of 3721?

Math FAQ Answers Dropdown Arrow

3.Is 3721 a perfect square?

Math FAQ Answers Dropdown Arrow

4.What are the first few multiples of 3721?

Math FAQ Answers Dropdown Arrow

5.What is the square of 3720?

Math FAQ Answers Dropdown Arrow

6.How does learning Algebra help students in Philippines make better decisions in daily life?

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in Philippines support learning Algebra topics such as Square of 3721?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Philippines support learning Algebra and Square of 3721?

Math FAQ Answers Dropdown Arrow

9.Does learning Algebra support future career opportunities for students in Philippines?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

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.
Professor Greenline from BrightChamps

About BrightChamps in Philippines

At BrightChamps, algebra means more than just numbers—it’s a key to many opportunities! Our mission is to support children all over the Philippines in learning important math skills, focusing today on the Square of 3721 with special attention to understanding squares—in a lively, fun, and clear way. Whether your child is measuring the speed of a roller coaster at Enchanted Kingdom, tracking scores at a local basketball game, or managing their allowance for the latest gadgets, mastering algebra helps build their confidence for everyday tasks. Our engaging lessons make learning both easy and enjoyable. Because kids in the Philippines learn in different ways, we tailor our teaching to each learner’s style. From Manila’s busy streets to Palawan’s beautiful islands, BrightChamps makes math exciting and relatable across the country. Let’s make squares a fun part of every child’s math experience!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom