Question 108

If the radius of a circle is increased by 10%, then the percent increase in its area is

let the radius of the circle is r then area = $$\pi$$ $$r^{2}$$Β 

then in given in the question the new radius is = 1.1rΒ 

then the new areaΒ  =Β $$\pi$$ $$(1.1r)^{2}$$

Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β = 1.21$$\pi$$ $$r^{2}$$

then the % change in area = (1.21$$\pi$$ $$r^{2}$$ -Β $$\pi$$ $$r^{2}$$)\$$\pi$$ $$r^{2}$$ $$\times$$100

then the % change in area = 21%Β  Β AnswerΒ 

Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β Β 

Get AI Help

Create a FREE account and get:

  • Download Maths Shortcuts PDF
  • Get 300+ previous papers with solutions PDF
  • 500+ Online Tests for Free

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Ask AI