If the radius of a circle is diminished by 10%, then its area is dimin

1.	If the radius of a circle is diminished by 10%, then its area is diminished by
Answer» Let the radius of the circle be r Then area of cirlce =πr 2 Given that radius of the circle is diminished by 10% Hence the new radius =r−(10%ofr)=90%ofr= 10 9r Area of the new circle =π( 10 9r ) 2 = 100 81 πr 2 Change in area πr 2 − 100 81 πr 2 = 100 19 πr 2 =0.19πr 2 “Percentage of area diminished is 19”% Let the radius of the circle be r Then area of circle = πr² Given that radius of the circle is diminished by 10% Hence the new radius = r − (10% of r) = 90% of r = 9r/10 Area of the new circle = π (9r/10)² = 81/100 πr² Change in area πr² − 81/100 πr² = 19/100 πr²= 0.19 πr² Percentage of area diminished is 19%.

If the radius of a circle is diminished by 10%, then its area is diminished by

Answer»

Let the radius of the circle be r

Then area of cirlce =πr

Given that radius of the circle is diminished by 10%

Hence the new radius =r−(10%ofr)=90%ofr=

Area of the new circle =π(

)

100

πr

Change in area πr

−

100

πr

100

πr

=0.19πr

“Percentage of area diminished is 19”%

Let the radius of the circle be r

Then area of circle = πr²

Given that radius of the circle is diminished by 10%

Hence the new radius = r − (10% of r) = 90% of r = 9r/10

Area of the new circle = π (9r/10)² = 81/100 πr²

Change in area πr² − 81/100 πr² = 19/100 πr²= 0.19 πr²

Percentage of area diminished is 19%.

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