How to Determine a Square and Circle of Equal Area

Step-by-Step Guide

1. 1

   Step 1: Let r1^2 represent the area of the square

   That is: r1 = sqrt(π)*r2 and r2 = r1/sqrt(π). sqrt(π) =
   1.77245385090552.
   
   So, given a square of side r1 =
   1.77245385090552, its area =
   1.77245385090552^2 = π and r2 = r1/sqrt(π) or
   1.77245385090552/1.77245385090552 = 1 and the area of r2's circle = πr2^2 = π(1)^2 = π, which equals the area of the square just calculated. , ,, For more art charts and graphs, you might also want to click on Category:
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2. 2

   Step 2: Let πr2^2 = the area of the circle

3. 3

   Step 3: Set A(s) = A(c) via r1^2 = πr2^2.

4. 4

   Step 4: Then r1^2 / r2^2 = π and r1 / r2 = sqrt(π).

5. 5

   Step 5: Given either r1 or r2

6. 6

   Step 6: we can determine the other one.

7. 7

   Step 7: And it's been learned that the square root of π means the relationship between the equal areas of a square and circle of varying "radius."

8. 8

   Step 8: Make use of helper articles when proceeding through this tutorial: See the article How to Determine a Square and Circle of Equal Perimeter for a list of articles related to Excel

9. 9

   Step 9: Geometric and/or Trigonometric Art

10. 10

    Step 10: Charting/Diagramming and Algebraic Formulation.

Detailed Guide

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