Using derivative find the approximate percentage increase in the area of a circle if its radius is increased by 2%
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Area (A) of circle is = πr^2
dA/dt = 2πr dr/dt
dA/dt = 2πr × 2
= 4πr........... (change in area)
dA/dt = 2πr dr/dt
dA/dt = 2πr × 2
= 4πr........... (change in area)
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