124 LearnersLast updated on May 26th, 2025
Square of 1166
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 1166.
What is the Square of 1166
The square of a number is the product of the number by itself. The square of 1166 is 1166 × 1166. The square of a number can end in 0, 1, 4, 5, 6, or 9. We write it in math as 1166², where 1166 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 1166 is 1166 × 1166 = 1,359,556.
Square of 1166 in exponential form: 1166²
Square of 1166 in arithmetic form: 1166 × 1166
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How to Calculate the Value of Square of 1166
The square of a number is found by multiplying the number by itself. 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 1166.
Step 1: Identify the number. Here, the number is 1166
Step 2: Multiply the number by itself, we get, 1166 × 1166 = 1,359,556.
The square of 1166 is 1,359,556.
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 1166 So: 1166² = 1166 × 1166 = 1,359,556
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 1166.
Step 1: Enter the number in the calculator Enter 1166 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1166 × 1166
Step 3: Press the equal button to find the answer Here, the square of 1166 is 1,359,556.
Tips and Tricks for the Square of 1166
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 can be 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 1166
Mistakes are common among students when doing math, especially when it comes to 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 these, students should double-check their answers. They can double-check by finding the square root of the result 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 a number is a². Students may mistakenly calculate (3 + 7)² or (30 + 7)² instead of 37². Students should check and use the correct formula and double-check their answers to avoid confusion.
Mistake 3
Confusing square with square root.
Not understanding the concept of square and square root can lead to confusion. Students should understand 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 parentheses when finding the square of a number can lead to errors. Students should understand the use of parentheses and perform operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. Students should practice regularly to avoid errors.
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Solved Examples on Square of 1166
Problem 1
Find the length of the square, where the area of the square is 1,359,556 cm².
The area of a square = a²
So, the area of a square = 1,359,556 cm²
So, the length = √1,359,556 = 1166.
The length of each side = 1166 cm
Explanation
The length of a square is 1166 cm.
Because the area is 1,359,556 cm², the length is √1,359,556 = 1166.
Problem 2
Lisa is planning to tile her square patio of length 1166 feet. The cost to tile a foot is 10 dollars. How much will it cost to tile the entire patio?
The length of the patio = 1166 feet
The cost to tile 1 square foot of the patio = 10 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 = 1166
Therefore, the area of the patio = 1166² = 1166 × 1166 = 1,359,556.
The cost to tile the patio = 1,359,556 × 10 = 13,595,560.
The total cost = 13,595,560 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 13,595,560 dollars.
Problem 3
Find the area of a circle whose radius is 1166 meters.
The area of the circle = 4,274,138.44 m²
Explanation
The area of a circle = πr²
Here, r = 1166
Therefore, the area of the circle = π × 1166² = 3.14 × 1166 × 1166 = 4,274,138.44 m².
Problem 4
The area of the square is 1,359,556 cm². Find the perimeter of the square.
The perimeter of the square is 4,664 cm.
Explanation
The area of the square = a²
Here, the area is 1,359,556 cm²
The length of the side is √1,359,556 = 1166
Perimeter of the square = 4a
Here, a = 1166
Therefore, the perimeter = 4 × 1166 = 4,664.
Problem 5
Find the square of 1170.
The square of 1170 is 1,368,900.
Explanation
The square of 1170 is multiplying 1170 by 1170.
So, the square = 1170 × 1170 = 1,368,900.
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FAQs on Square of 1166
1.What is the square of 1166?
2.What is the square root of 1166?
3.Is 1166 a prime number?
4.What are the first few multiples of 1166?
5.What is the square of 1150?
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Important Glossaries for Square of 1166.
- Even number: A number divisible by 2 without a remainder. For example, 2, 4, 6, 8, etc.
- Exponential form: A way of expressing numbers using a base and an exponent. For example, 1166² means 1166 raised to the power of 2.
- Square: The result of multiplying a number by itself. For example, 1166² = 1,359,556.
- 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.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
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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.
