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Using Spherical Co-ordinate Systems Calculate the Area of a Disc of Radius 2 Cm. - Applied Physics 2

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Using spherical co-ordinate systems calculate the area of a disc of radius 2 cm.

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Solution

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 ะค

s = ∫ds

`s = ∫_0^(2π) ∫_2^0 rdrdะค`
s = 2 x 2๐…
s = 4 ๐… m

Area of disc = 4๐… m

Concept: Cylindrical and Spherical Coordinate System
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