Question

The area of two circle are in the ratio 49:64 . Find the ratio of the of their circumference

Answer 1

Answer:

7/8

Step-by-step explanation:

let radius of one circle=r1

let radius of second circle=r2

ratio of areas =πr1²/πr2²=49/64

π gets cancelled thereby,

r1²/r2²=49/64

r1/r2=√49/√64

=7/8

ratio of circumference=2πr1/2πr2

2π gets cancelled,

ratio=r1/r2= 7/8

Answer 2

$\boxed{QUESTION:-}$

The area of two circle are in the ratio 49:64 . Find the ratio of the of their circumference?

$\boxed{SOLUTION:-}$

The Area of 1st Circle= πr1²

The Area of 2nd Circle= πr2²

=>πr1²/πr2²=49/64

πr1/πr2=√49/√64

=>πr1/πr2=7/8

=>Circumference[1st Circle]=2πr1

=>Circumference[2nd Circle]=2πr2

=>2πr1/2πr2

=>$\frac{2×7}{2×8}$

=>$\frac{\cancel {14}}{\cancel {16}}$

$\frac{7}{8}$

=> 7:8 Is the Ratio of their Circumference

$\mathcal{BE \: BRAINLY}$