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its area will be increased 96%
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Let diameter be x .
New diameter = x + 40/100x
= 14/10 x
Area of a circle = π × diameter² / 4
Original area = πx²/4
New area = π(14x/10)²/4
= 196xπ/400
= 49xπ/100
Increase in area = 49x²π/100 - πx²/4
= 24xπ/100
= 24%
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