Q. The radius of a circle is increasing at the
rate of (t) ms' . At what rate is the circle's
area increasing
when r= 10 m ?
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1
Answer:
Given dr/dt = 0.1 cm/sec , r= 5 cm
Area of circle = πr²
DA/dt = d(πr²)/dt
= 2πrdr
Putting value of dr and r
dA/ dt = 2*3.14*5*0.1 cm²/ sec
= 3.14 cm²/ sec
Step-by-step explanation:
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