BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon101 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Square of 81

Professor Greenline Explaining Math Concepts

The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 81.

Square of 81 for UAE Students
Professor Greenline from BrightChamps

What is the Square of 81

The square of a number is the product of the number by itself. The square of 81 is 81 × 81. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 81², where 81 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, 5² = 25; (-5)² = 25. The square of 81 is 81 × 81 = 6561. Square of 81 in exponential form: 81² Square of 81 in arithmetic form: 81 × 81

Professor Greenline from BrightChamps

How to Calculate the Value of Square of 81

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

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 81. Step 1: Identify the number. Here, the number is 81. Step 2: Multiplying the number by itself, we get, 81 × 81 = 6561. The square of 81 is 6561.

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 81 So: 81² = 81 × 81 = 6561

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 81. Step 1: Enter the number in the calculator Enter 81 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 81 × 81 Step 3: Press the equal to button to find the answer Here, the square of 81 is 6561. Tips and Tricks for the Square of 81 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 81

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 swap 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 81

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 6561 cm².

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

The area of a square = a² So, the area of a square = 6561 cm² So, the length = √6561 = 81. The length of each side = 81 cm

Explanation

The length of a square is 81 cm. Because the area is 6561 cm², the length is √6561 = 81.

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

Problem 2

Emma is planning to tile her square patio of length 81 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full patio?

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

The length of the patio = 81 feet The cost to tile 1 square foot of the patio = 5 dollars. To find the total cost to tile, we find the area of the patio, Area of the patio = area of the square = a² Here a = 81 Therefore, the area of the patio = 81² = 81 × 81 = 6561. The cost to tile the patio = 6561 × 5 = 32805. The total cost = 32805 dollars

Explanation

To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot. So, the total cost is 32805 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 81 meters.

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

The area of the circle = 20,612.16 m²

Explanation

The area of a circle = πr² Here, r = 81 Therefore, the area of the circle = π × 81² = 3.14 × 81 × 81 = 20,612.16 m².

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

Problem 4

The area of the square is 6561 cm². Find the perimeter of the square.

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

The perimeter of the square is 324 cm.

Explanation

The area of the square = a² Here, the area is 6561 cm² The length of the side is √6561 = 81 Perimeter of the square = 4a Here, a = 81 Therefore, the perimeter = 4 × 81 = 324 cm.

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

Problem 5

Find the square of 82.

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

The square of 82 is 6724.

Explanation

The square of 82 is multiplying 82 by 82. So, the square = 82 × 82 = 6724.

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

FAQs on Square of 81

1.What is the square of 81?

Math FAQ Answers Dropdown Arrow

2.What is the square root of 81?

Math FAQ Answers Dropdown Arrow

3.Is 81 a prime number?

Math FAQ Answers Dropdown Arrow

4.What are the first few multiples of 81?

Math FAQ Answers Dropdown Arrow

5.What is the square of 80?

Math FAQ Answers Dropdown Arrow

6.How does learning Algebra help students in United Arab Emirates make better decisions in daily life?

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Square of 81?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 81?

Math FAQ Answers Dropdown Arrow

9.Does learning Algebra support future career opportunities for students in United Arab Emirates?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Square 81.

Integer: A whole number that can be positive, negative, or zero. Perfect Square: A number that is the square of an integer. For example, 81 is a perfect square because it is 9². Exponent: A mathematical notation indicating the number of times a number is multiplied by itself. For example, in 81², 2 is the exponent. Square Root: A value that, when multiplied by itself, gives the original number. For example, the square root of 81 is 9. Multiplication: The process of combining equal groups to find the total number of items.

Professor Greenline from BrightChamps

About BrightChamps in United Arab Emirates

At BrightChamps, algebra is much more than numbers—it opens doors to countless opportunities! Our goal is to help children throughout the UAE develop key math skills, with today’s lesson focused on the Square of 81 and a special emphasis on understanding squares—in a way that’s fun, engaging, and easy to grasp. Whether your child is timing a roller coaster at Dubai Parks and Resorts, keeping score at a local football match, or managing their allowance for the latest gadgets, mastering algebra builds their confidence to handle daily challenges. Our lessons make learning simple and enjoyable. Because children in the UAE have different learning styles, we customize our approach for each child. From Dubai’s towering skyscrapers to Abu Dhabi’s rich culture, BrightChamps brings math to life, making it exciting and relevant throughout the UAE. Let’s make squares an enjoyable part of every child’s math journey!
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