Question

The area of two circles are in the ratio 16:25. find the ratio of their circumference​

Answer 1

Answer:

The answer is 4:5

Step-by-step explanation:

Let r and R are radii of two circles ,

Ratio of their areas = 16 : 25

πr² : πR² = 16 : 25

r² / R² = ( 4/5 )²

r / R = 4/5-----( 1 )

Ratio of circumferences = 2πr / 2πR

= r / R

= 4/5

[ From equation ( 1 ) ]

= 4 : 5

I hope this helps you.

:)

Answer 2

Answer:

the ratio of their circumference is 4:5

Step-by-step explanation:

2the formula of finding the circumference is $\pi$r

let the radius be r1  and  r2

2$\pi$r1 / 2$\pi$r2 =16 /25

$\pi$r1 ^2 /$\pi$r2 ^2 =16/25

$r1^{2}$ / $r2^{2}$ =16/25

=4/5