Question

can angular displacement be used to measure the diameter of a circle?​

Answer 1

Answer:

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Answer 2

Angular displacement can be used to measure the diameter of a circle, only if we know the values of both the "angular displacement" and the "length of the Arc" (which is associated with the said angular displacement).

• When a body is undergoing in a circular motion, the displacement of the body is known as angular displacement.
• Now,

Angular displacement = Length of the Arc / Radius of the circle

Radius of the circle = Length of the Arc/Angular displacement

• So, if we know the magnitudes of the physical quantities (ie. length of arc, angular displacement) on the RHS of the above mentioned equation, then we will easily get the value of Radius of the circle. [Here, the length of arc simply means distance covered by the object in the circular path during the said circular motion.]
• And, from the radius of the circle, we can get the value of diameter of the circle, because -

Diameter = 2 × Radius