101 LearnersLast updated on May 26th, 2025
Square of 363
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 this topic, we will discuss the square of 363.
What is the Square of 363
The square of a number is the product of the number itself. The square of 363 is 363 × 363. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 363², where 363 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 363 is 363 × 363 = 131,769. Square of 363 in exponential form: 363² Square of 363 in arithmetic form: 363 × 363
How to Calculate the Value of Square of 363
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 363. Step 1: Identify the number. Here, the number is 363. Step 2: Multiplying the number by itself, we get, 363 × 363 = 131,769. The square of 363 is 131,769.
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 363. So: 363² = 363 × 363 = 131,769
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 363. Step 1: Enter the number in the calculator. Enter 363 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×). That is 363 × 363. Step 3: Press the equal to button to find the answer. Here, the square of 363 is 131,769. Tips and Tricks for the Square of 363 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 363
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.
Solved Examples on Square of 363
Problem 1
Find the length of the square, where the area of the square is 131,769 cm².
The area of a square = a² So, the area of a square = 131,769 cm² So, the length = √131,769 = 363. The length of each side = 363 cm
Explanation
The length of a square is 363 cm. Because the area is 131,769 cm², the length is √131,769 = 363.
Problem 2
Maria is planning to tile her square garden of length 363 feet. The cost to tile a square foot is 5 dollars. Then how much will it cost to tile the entire garden?
The length of the garden = 363 feet The cost to tile 1 square foot of garden = 5 dollars. To find the total cost to tile, we find the area of the garden, Area of the garden = area of the square = a² Here a = 363 Therefore, the area of the garden = 363² = 363 × 363 = 131,769. The cost to tile the garden = 131,769 × 5 = 658,845. The total cost = 658,845 dollars
Explanation
To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per foot. So, the total cost is 658,845 dollars.
Problem 3
Find the area of a circle whose radius is 363 meters.
The area of the circle = 413,029.26 m²
Explanation
The area of a circle = πr² Here, r = 363 Therefore, the area of the circle = π × 363² = 3.14 × 363 × 363 = 413,029.26 m².
Problem 4
The area of the square is 131,769 cm². Find the perimeter of the square.
The perimeter of the square is 1452 cm.
Explanation
The area of the square = a² Here, the area is 131,769 cm². The length of the side is √131,769 = 363. Perimeter of the square = 4a Here, a = 363 Therefore, the perimeter = 4 × 363 = 1452.
Problem 5
Find the square of 364.
The square of 364 is 132,496.
Explanation
The square of 364 is multiplying 364 by 364. So, the square = 364 × 364 = 132,496.
FAQs on Square of 363
1.What is the square of 363?
2.What is the square root of 363?
3.Is 363 a prime number?
4.What are the first few multiples of 363?
5.What is the square of 362?
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 363?
8.How do technology and digital tools in United States support learning Algebra and Square of 363?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 363.
Square: The product of a number multiplied by itself. For example, 5² = 25. Exponential form: A way of expressing numbers as a base raised to a power. For example, 9², where 9 is the base and 2 is the exponent. Square root: The inverse operation of squaring. The square root of a number is a value that, when multiplied by itself, gives the number. For example, √25 = 5. Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6². Multiplication: The mathematical operation of scaling one number by another. In the context of squaring, it means multiplying a number by itself.
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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
: He loves to play the quiz with kids through algebra to make kids love it.
