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Consider the object moves from A to B in circular path in t time which makes θ angle at the centre O, This angle θ is called angular displacement.

If the distance between A and B is “d” then,

d = rθ

Thus, θ = d/r

Also, θ = ωt

Where, r = radius of circle.

ω = angular velocity

t = time taken

Angular speed, ω = 63 rad/sec

Time taken, t = 7 sec

We have equation for angular displacement,

θ = ωt = 63 x 7 = 441 radians.

Radius of circle, r = 9 m

So that, θ = d/r

= 45/9 = 5 radians.