Question

the radius of a circle is increased by 1% .The percentage increase in area is?​

Answer 1

Step-by-step explanation:

lets say radius is 'r'

so area A = π.r²

after increasing radius by 1% new radius will be

R= r+ 1/100.r

R= 1.01r

new area À= π R²

À= π (1.01r)²

À= 1.0201 π r²

so percent of area inc = À/A×100

= 1.0201 πr²/ πr²×100

= 102.01%