Using Spherical Co-ordinate Systems Calculate the Area of a Disc of Radius 2 Cm. - Applied Physics 2
Using spherical co-ordinate systems calculate the area of a disc of radius 2 cm.
Consider the circular disc with centre at origin of X-Y plane.
Circular disc is a part of cylinder in cylindrical system.
z = 0
Differential area = ds = rdrd Ф
s = ∫ds
`s = ∫_0^(2π) ∫_2^0 rdrdФ`
s = 2 x 2𝝅
s = 4 𝝅 m2
Area of disc = 4𝝅 m2
Concept: Cylindrical and Spherical Coordinate System
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