Question

The radius of a circle is increased by 1%. Find how much % does its area increases?


a. 1.01%


b. 5.01%


c. 3.01%


d. 2.01% answer: option d

Answer 1

Answer:

option d is write answer I think it help you

Answer 2

answer :

option (D) 2.01 %

explanation :

Let the radius of circle is R

so, area of circle , A = πR²

radius of circle is increased by 1%

so, new radius of circle , R' = R + 1% of R = 1.01R

area of circle, A' = πR'²

= π(1.01R)² = 1.0201πR²

hence, percentage change in area of circle = change in area of circle/initial area of circle × 100

= (1.0201πR² - πR²)/πR² × 100

= (0.0201)πR²/πR² × 100

= 2.01 %

hence, option (D) is correct choice.

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