If the radius of a circle with centre o is increased by 7%, then the area is increased by
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Initial radius=r
Final radius=r+(7÷100)r=1.07r
Area formula=π×r×r
initial area=π×r×r
final area=
=π×1.07r×1.07r
=π×r×r×1.1449
area increased by
(π×r×r×1.1449 - π×r×r)÷ (π×r×r)
=1.1449-1
=0.1449%
Final radius=r+(7÷100)r=1.07r
Area formula=π×r×r
initial area=π×r×r
final area=
=π×1.07r×1.07r
=π×r×r×1.1449
area increased by
(π×r×r×1.1449 - π×r×r)÷ (π×r×r)
=1.1449-1
=0.1449%
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