Optics:-
Explain l ∝ πd²/4.
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What is the answer for Pi times the diameter squared divided by 4, and how is it calculated?
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Abhinand Vinodh
Answered July 19, 2017
Pi times the diameter squared divided by 4 is used to determine the area of a circular surface when diameter is given.
Area of circle = πr²
where r is the radius of the circle
Diameter = 2 * radius =>D = 2r
=>r = D/2
Now if we write the formula for area of a circle in terms of diameter,i.e replacing r by D it becomes,
Area = π*(D/2)*(D/2) = ( π*D*D)/4 = πD²/4
Answer:
Pi times the diameter squared divided by 4 is used to determine the area of a circular surface when diameter is given.
Area of circle = πr²
where r is the radius of the circle
Diameter = 2 * radius =>D = 2r
=>r = D/2
Now if we write the formula for area of a circle in terms of diameter,i.e replacing r by D it becomes,
Area = π*(D/2)*(D/2) = ( π*D*D)/4 = πD²/4
Hope it helps.
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