132 LearnersLast updated on May 30th, 2025
Square of 201
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so forth. In this topic, we will discuss the square of 201.
What is the Square of 201
The square of a number is the product of the number with itself.
The square of 201 is 201 × 201.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 201², where 201 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 201 is 201 × 201 = 40401.
Square of 201 in exponential form: 201²
Square of 201 in arithmetic form: 201 × 201
How to Calculate the Value of Square of 201
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 201.
Step 1: Identify the number. Here, the number is 201.
Step 2: Multiplying the number by itself, we get, 201 × 201 = 40401.
The square of 201 is 40401.
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 201 So: 201² = 201 × 201 = 40401
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 201.
Step 1: Enter the number in the calculator Enter 201 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 201 × 201
Step 3: Press the equals button to find the answer
Here, the square of 201 is 40401.
Tips and Tricks for the Square of 201
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 201
Mistakes are common among kids when doing math, especially when it involves 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 steps or swap digits. To avoid this, students should double-check their answers. 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 when using the formula.
The formula to find the square of the number is a². Instead, students may use 201² with (2 + 1)² or (200 + 1)². Students should check and use the correct formula and double-check the answers to avoid confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid this, 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 carry out 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 practice regularly to avoid errors.
Solved Examples on Square of 201
Problem 1
Find the length of the square, where the area of the square is 40401 cm².
The area of a square = a² So, the area of the square = 40401 cm² So, the length = √40401 = 201. The length of each side = 201 cm
Explanation
The length of a square is 201 cm.
Because the area is 40401 cm², the length is √40401 = 201.
Problem 2
Jenna is planning to paint her square wall of length 201 feet. The cost to paint a foot is 5 dollars. How much will it cost to paint the full wall?
The length of the wall = 201 feet The cost to paint 1 square foot of wall = 5 dollars. To find the total cost to paint, we find the area of the wall, Area of the wall = area of the square = a² Here a = 201 Therefore, the area of the wall = 201² = 201 × 201 = 40401. The cost to paint the wall = 40401 × 5 = 202005. The total cost = 202005 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot.
So, the total cost is 202005 dollars.
Problem 3
Find the area of a circle whose radius is 201 meters.
The area of the circle = 127,228.14 m²
Explanation
The area of a circle = πr²
Here, r = 201
Therefore, the area of the circle = π × 201² = 3.14 × 201 × 201 = 127,228.14 m².
Problem 4
The area of the square is 40401 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a² Here, the area is 40401 cm²
The length of the side is √40401 = 201
Perimeter of the square = 4a
Here, a = 201
Therefore, the perimeter = 4 × 201 = 804.
Problem 5
Find the square of 202.
The square of 202 is 40804
Explanation
The square of 202 is multiplying 202 by 202.
So, the square = 202 × 202 = 40804
FAQs on Square of 201
1.What is the square of 201?
2.What is the square root of 201?
3.Is 201 a prime number?
4.What are the first few multiples of 201?
5.What is the square of 200?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 201?
8.How do technology and digital tools in India support learning Algebra and Square of 201?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square 201.
- Square: The product of a number multiplied by itself. For example, 4² = 16.
- Exponential form: Expressing a number in the form of a power. For example, 9² where 9 is the base and 2 is the exponent.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Square root: The inverse operation of squaring a number. The square root of 16 is ±4.
- Perimeter: The total length around a two-dimensional shape. For a square, it is 4 times the length of one side.
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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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