Question

If the ratio of the circumference of two
circles is 2:3, what is the ratio of their
radii?​

Answer 1

Answer:

hey!☺

Step-by-step explanation:

the circumference of circles are in the ratio 2:3

so lets take it as 2x and 3x

we know that circumference is 2πr

so, 2πr=2x and2πR=3x

here 2 and π are common so i can remove them by 2π/2π=1

after removing them i have r=2x and r=3x

hence here again if i take r common i get r/R =(2x/3x)

so r/R=2/3 or 2:3

hence you can say that ratio of radius is 2:3

hope it helps you ☺☺☺

Answer 2

FINAL ANSWER:

there radii ratio will be 2:3

GIVEN:

circumference of two  circles is 2:3

TO FIND:

ratio of their  radii

FORMULA USED:

circumference=2πr

SOLUTION:

$\frac{c1}{c2}= \frac{2*pi*r1}{2*pi*r2}$

$\frac{2}{3}= \frac{2*pi*r1}{2*pi*r2}$[∵ here 2 and π get cancelled with each other ]

$\frac{2}{3}= \frac{r1}{r2}$

there radii ratio will be 2:3

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