Question

the circumference of two circles are in the ratio 1:3 .find the ratio of their areas.

Answer 1

let the radii of the two circles be R1 and R2
circumference of a circle = 2πr
therefore
2πR1/2πR2 = 1/3
R1/R2 = 1/3
therefore 3R1 = R2
ratio of areas:
area of a circle = πr²
therefore
πR1²/π(3R1)²
= R1²/9R1²
= 1/9

Answer 2

Answer:

let the radii of the two circles be R1 and R2

circumference of a circle = 2πr

therefore

2πR1/2πR2 = 1/3

R1/R2 = 1/3

therefore 3R1 = R2

ratio of areas:

area of a circle = πr²

therefore

πR1²/π(3R1)²

= R1²/9R1²

= 1/9

HOPE IT HELPS!!!!!!!!!!