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Length of the Arc

Sort the foll...

Question

Sort the following according to length in descending order ( top to bottom).

A

Circumference

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B

270° arc

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C

Radius

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D

Diameter

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Solution

Smallest will be radius
Diameter = 2 $\times$ radius
Length of Arc subtending angle 270° = $\frac{3 π}{2} \times r a d i u s$ = 4.71 $\times$ radius
Circumference = 6.28 $\times$ radius

Hence order will be
Radius < Diameter < 270° arc < Circumference.

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