Diameter formula

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Diameter formula is a tool to find out the diameter of circle. Diameter is defined as the longest chord of the circle which passes through the center of the circle. It is shown below:- 


Diameter is twice the radius of circle. This formula is used to analyze the diameter of different figures such as planet etc. The general standard unit for diameter of circle is m or cm or km.
It will be more clarified by the below mentioned examples.


 
Problem 1: Evaluate the unknown parameter: Circumference = 44 cm, diameter of circle =?
Solution: Given Circumference of circle = 44 cm

=> We know that Circumference of circle = 2 * pie * r
=> Circumference of circle = 2* pie *r = 44
=> 2 * pie * r = 44
=> 2 * 22/7 * r = 44
=> Therefore, r = (44 * 7) / 2 * 22 = (44*7) / 44 = 7 cm


 
Problem 2: If the Area of the circle is 22 cm, find the diameter of the circle.
Solution: Given Area of the circle = 22 cm

=> We know that, Area of circle = pie * r * r
=> 22 = pie * r* r
=> Therefore, pie* r * r = 22
=> 22/7 * r^2 = 22
=> Now r^2 = (22/22) * 7
=> So r^2 = 1 *7
=> This thing implies, r = (7) ^1/2 = 2.65

=> Hence diameter of circle = 2 * 2.65 = 5.3 cm.

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