Question

if the circumference of two circle are in the ratio 4:9 then the ratio in their areas is ​

Answer 1

Answer:

Let radii of circles be r1 and r2

given,

\begin{gathered}2\pi \: r1:2\pi \: r2 = 4:9 \\ \: r1:\: r2 = 4:9 \\ ratio \: of \: area = \pi {r1}^{2} :\pi {r2}^{2} \\ = {r1}^{2} :{r2}^{2} = {4}^{2} : {9}^{2} = 16:81 \\ option \: \: (2)\end{gathered}

2πr1:2πr2=4:9

r1:r2=4:9

ratioofarea=πr1

2

:πr2

2

=r1

2

:r2

2

=4

2

:9

2

=16:81

option(2)

Answer 2

Answer:

Answer is 16 : 81 hope this answer help you the best.