Question

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

Answer 1

Answer:

Step-by-step explanation:

Given that the ratio of circumference of two circles is 3:1

Let the radius of two circles be m and n

2πm : 2πn = 3 : 1

Hence, m : n = 3 : 1

Ratio of areas of the circles will be ,

2πm² : 2πn² = m² : n² = 9 : 1

Answer 2

⚫ Given that the circumference of two circles.
are in the ratio 1 : 3

◾ Let the radii of two circles are R1 and R2
Respectively.

Given :

$\frac{circumference \: of \: 1st \: circle \: } {circumference \: of \: 2nd \: circle \: } = \frac{1}{3}$

$= > \: \frac{2\pi \: r1}{2\pi \: r2} = \: \frac{1}{3}$

$= > \frac{r1}{r2} = \: \frac{1}{3}$

⚫ Squaring on Both Sides

(r1/r2)^2 = 1/9

◾ Hence r1 : r2. = 1 : 9.

⚫ Therefore The ratio of their areas are 1:9.