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The perimeter of a square is a fundamental concept in geometry that measures the total distance around the square’s boundary. It is an essential calculation used in various real-life scenarios, including architecture, construction, and art. By understanding how to calculate the perimeter of a square, one can accurately determine the amount of material needed to enclose a square-shaped area or create an outline for a visual representation. This topic will provide a step-by-step guide on how to calculate the perimeter of a square, along with examples to help clarify the process. Whether you are a student learning geometry or a professional needing to make precise measurements, mastering the calculation of a square’s perimeter is a valuable skill that can be utilized in numerous practical applications.
This article was co-written by David Jia. David Jia is a tutoring teacher and founder of LA Math Tutoring, a private tutoring facility based in Los Angeles, California. With over 10 years of teaching experience, David teaches a wide variety of subjects to students of all ages and grades, as well as college admissions counseling and prep for SAT, ACT, ISEE, etc. scoring 800 in math and 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an instructor in online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
This article has been viewed 127,022 times.
The perimeter of a two-dimensional shape is the sum of the lengths of the border around the shape, or the sum of the lengths of its sides. [1] XResearch Source By definition, a square is a 4-sided figure with equal side lengths, and 4 right angles (90°). [2] XResearch Source Since all four sides are of equal length, finding the square’s perimeter is easy! This article shows you how to find the perimeter of a square if you know the length of one side. Then the article will show you how to find the perimeter of a square if only the area is known, and finally how to calculate the perimeter of the square inscribed in a circle with known radius.
Steps
Calculate the perimeter when the length of a side is known
- If the square has side length 4 then P = 4 * 4 = 16 .
- If the square has side length 6 then P = 4 * 6 = 24 .
Calculate the perimeter when the area is known
- If the area of the square is 20, the side length s=√20 = 4,472 .
- If the area of the square is 25 then s = √25 = 5 .
- For a square with area 20 and side length 4,472, perimeter P = 4 * 4,472 = 17,888 .
- For a square with area 25 and side length 5, perimeter P = 4 * 5 = 20 .
Find the perimeter of a square inscribed in a circle of known radius
- a 2 + a 2 = (2r) 2 “‘, now simplify the equation to:
- 2a 2 = 4(r) 2 , now divide both sides by 2:
- (a 2 ) = 2(r) 2 , then take the square root of each side:
- a = √(2r) . Side length s of the inscribed square = √(2r) .
- Note that you can find the same result by multiplying the radius by 10 by 5,657. 10 * 5,567 = 56.57 , but it’s hard to remember this value while taking the test, so it’s better to remember the calculation process to find the result.
Advice
- The reason is because the square has 4 sides.
This article was co-written by David Jia. David Jia is a tutoring teacher and founder of LA Math Tutoring, a private tutoring facility based in Los Angeles, California. With over 10 years of teaching experience, David teaches a wide variety of subjects to students of all ages and grades, as well as college admissions counseling and prep for SAT, ACT, ISEE, etc. scoring 800 in math and 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an instructor in online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
This article has been viewed 127,022 times.
The perimeter of a two-dimensional shape is the sum of the lengths of the border around the shape, or the sum of the lengths of its sides. [1] XResearch Source By definition, a square is a 4-sided figure with equal side lengths, and 4 right angles (90°). [2] XResearch Source Since all four sides are of equal length, finding the square’s perimeter is easy! This article shows you how to find the perimeter of a square if you know the length of one side. Then the article will show you how to find the perimeter of a square if only the area is known, and finally how to calculate the perimeter of the square inscribed in a circle with known radius.
In conclusion, calculating the perimeter of a square is a straightforward process that requires the measurement of one side of the square. By using the formula P = 4s, where P represents the perimeter and s represents the length of a side, one can easily determine the total length of all sides combined. This formula can be applied to any square, regardless of its size or dimension. Additionally, it is important to note that understanding the concept of perimeter and its calculation is useful not only in solving geometric problems but also in everyday life situations, such as measuring the boundaries of a garden or determining the amount of fencing required for a square-shaped area. Overall, being able to calculate the perimeter of a square is a fundamental skill in geometry and provides a solid foundation for further mathematical understanding.
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