The variation of radius of a circle with time is given by the relation r = (20 + 3) m, where t is time in second. The rate of change of area of the circle at t = 1 s will be
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r = 20t+3
dA/dt = dπr²/dt
= πd(20t+3)²/dt
= π× 2(20t+3) × 20
= 40π(20t+3)
When t = 1
=40π(23)
= 2890.26m²/s
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