Question

If ratio of circumference of 2 circles is 3:1 find the ratio of the areas

Answer 1

Ratio of circumference: 3:1

∴2πr₁ : 2πr₂  =  3:1

r1/r2 = 3/1

Area's ratio = r₁²\r₂² = 3²/1² = 9/1

The ratio of area is = 9:1

Answer 2

Answer:

ratio of the areas = 9

Step-by-step explanation:

Let say Circle one radius = R₁

& Second circle Radius = R₂

Circumference of Circle 1 = 2 $\pi$R₁

Circumference of Circle 2 = 2 $\pi$R₂

C₁/C₂ =  $\frac{3}{1}$

2$\pi$R₁/2$\pi$R₂ = $\frac{3}{1}$

R₁/R₂ = $\frac{3}{1}$

R₁ = 3R₂

Area of Circle 1 = $\pi$R₁²

Area of Circle 2 = $\pi$R₂²

A₁/A₂ = $\pi$R₁² / $\pi$R₂²

A₁/A₂ =$\pi$(3R₂)² / $\pi$R₂²

A₁/A₂  = 9

ratio of the areas = 9