A square, triangle, and circle are all basic 2D geometric shapes called polygons. Polygons are flat shapes with a finite boundary made up of a fixed number of line segments

 
 
  • BYJU'S
    https://byjus.com/maths/geometric-shapes/#:~:text=Geometric%20shapes%20such%20as%20a,called%20sides%20of%20the%20polygon.
     
    Geometric Shapes | Definition, Types, List and Examples - BYJU'S
    Jan 8, 2021 — Geometric shapes such as a square, rectangles, and triangles are a few basic 2D shapes. These figures are collectively called polygons. A polygon is ...
  • toppr.com
    https://www.toppr.com/guides/maths/basic-geometrical-ideas/basic-geometrical-shapes/#:~:text=Geometric%20Shapes%20can%20be%20defined,%2C%20Circle%2C%20Square%2C%20etc.
     
    List, Definition, Types of Geometric Shapes
    Geometric Shapes can be defined as figure or area closed by a boundary which is created by combining the specific amount of curves, points, and lines. Different...

All circles are similar because their radii are not equal. All squares are similar because their sides are not equal. All equilateral triangles are similar because each angle is 60°. Two polygons are similar if their corresponding angles are equal and their corresponding sides are in the same ratio. 

 
 
 
  • Cuemath
    https://www.cuemath.com/ncert-solutions/fill-in-the-blanks-using-the-correct-word-given-in-brackets-i-all-circles-are-congruent-similar-ii-all-squares-are-similar-congruent-iii-all-triangles-are-similar/
     
    Fill in the blanks using the correct word given in brackets :i) All circles are (congruent, similar) ii)All squares are (similar, congruent) iii)All ___ triangles are similar (isosceles, equilateral)
     

The perimeters of a circle, square, and equilateral triangle are equal if the circle has a radius of

rr
๐‘Ÿ

, the square has a side of

ss
๐‘ 

, and the equilateral triangle has a side of

aa
๐‘Ž

. Then,

2πr=4s=3a2 pi r equals 4 s equals 3 a
2๐œ‹๐‘Ÿ=4๐‘ =3๐‘Ž

. 

 
 
 
  • Testbook
    https://testbook.com/question-answer/the-perimeters-of-a-circle-a-square-and-an-equil--5ddb9e40f60d5d2b07a5ddb0#:~:text="Explanation: The perimeter of Circle of radius,0.477 a Area of an equilateral tr
     
    "The perimeters of a circle, a square, and an equilateral triangle are equal. Which one of the following statements is true?"
    Sep 22, 2020 — "Explanation: The perimeter of Circle of radius r = 2πr The perimeter of a square of side s = 4s The perimeter of an equilateral triangle of side a ...

The areas of a circle, square, and equilateral triangle are different: 

 
 
 
  • Homework.Study.com
    https://homework.study.com/explanation/consider-an-equilateral-triangle-a-circle-and-a-square-that-all-have-the-same-areas-which-one-would-have-the-largest-perimeter.html#:~:text=Area%20and%20perimeter%20of%20different,three%20times%20its%20side%20length.
     
    Consider an equilateral triangle, a circle, and a square that all have ...
    Area and perimeter of different shapes: The perimeter of a square is given by the sum of all sides.As all the sides of a square are equal, its perimeter is four...
  • Testbook
    https://testbook.com/question-answer/the-perimeters-of-a-circle-a-square-and-an-equil--5ddb9e40f60d5d2b07a5ddb0#:~:text="Explanation: The perimeter of Circle of radius,0.477 a Area of an equilateral tr
     
    "The perimeters of a circle, a square, and an equilateral triangle are equal. Which one of the following statements is true?"
    Sep 22, 2020 — "Explanation: The perimeter of Circle of radius r = 2πr The perimeter of a square of side s = 4s The perimeter of an equilateral triangle of side a ...

  • Circle: The perimeter is

    2πr2 pi r
    2๐œ‹๐‘Ÿ

    and the area is

    πr2pi r squared
    ๐œ‹๐‘Ÿ2

     

     
     
     
    • Homework.Study.com
      https://homework.study.com/explanation/consider-an-equilateral-triangle-a-circle-and-a-square-that-all-have-the-same-areas-which-one-would-have-the-largest-perimeter.html#:~:text=Area%20and%20perimeter%20of%20different,three%20times%20its%20side%20length.
       
      Consider an equilateral triangle, a circle, and a square that all have ...
      Area and perimeter of different shapes: The perimeter of a square is given by the sum of all sides.As all the sides of a square are equal, its perimeter is four...

  • Square: The perimeter is

    4s4 s
    4๐‘ 

    and the area is

    s2s squared
    ๐‘ 2

     

     
     
     
    • Homework.Study.com
      https://homework.study.com/explanation/consider-an-equilateral-triangle-a-circle-and-a-square-that-all-have-the-same-areas-which-one-would-have-the-largest-perimeter.html#:~:text=Area%20and%20perimeter%20of%20different,three%20times%20its%20side%20length.
       
      Consider an equilateral triangle, a circle, and a square that all have ...
      Area and perimeter of different shapes: The perimeter of a square is given by the sum of all sides.As all the sides of a square are equal, its perimeter is four...

  • Equilateral triangle: The perimeter is

    3a3 a
    3๐‘Ž

    and the area is

    34s2the fraction with numerator the square root of 3 end-root and denominator 4 end-fraction s squared
    3√4๐‘ 2

     

     

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