IMPORTANT QUESTION FOR CBSE MATHS 2020- STANDARD ( please answer )
if the circumference of a circle increases from 4 pi to 8 pi, find the percentage increase in the area of a circle
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Answer:
75%
Step-by-step explanation:
Area= πr²
Circumference=2πr
According to Question,
2πr= 4π( initially)
so, r= 2. therefore area = 4π
again,
2πr= 8π
so, r= 4. therefore area = 16π
now, increase in area = 16π- 4π = 12π
Therefore, % change= (12π / 16π)*100
= 75%
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