If the radius of the circle is 1 unit.if its diameter is increase by 100%.its area is increased by
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A 300% increase in area is seen when the diameter of a circle increases by 100%
Step-by-step explanation:
The original radius, r = 1 unit
The area of the circle = π r2 = π sq units
Diameter of the circle = 2r = 2 units
When the diameter increases by 100 %, i.e., 100% of 2 units = 2 units
Thus, the new diameter = 2 units + 2 units = 4 units
Thus, the new radius, r’ = 2 units
The new area is = π r’2 = 4 π sq units
The increase in the area of the circle = 4 π – π = 3 π sq units
The percentage increase in the area is = New area/original area x 100
= 3π / π * 100
= 300%
A 300% increase in area is seen when the diameter of a circle increases by 100%
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Answer:300%
Step-by-step explanation:
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