Question

Find the ratio of the areas of two circles whose radii are 3cm and 4cm

Answer 1

Area of the first circle = πr² = π×3 ×3

Area of second circle = πR² = π × 4×4

Now,

ratio of the areas of two circle =

= π9/ π16 = 9:16

Hope it will help you !!

Answer 2

$\dfrac{\text{Area 1}}{\text{Area 2}} =\bigg( \dfrac{\text{Radius 1}}{\text{Radius 2}} \bigg)^2$

Given that the radii are 3cm and 4cm:

$\dfrac{\text{Area 1}}{\text{Area 2}} =\bigg( \dfrac{\text{3}}{4}} \bigg)^2$

$\dfrac{\text{Area 1}}{\text{Area 2}} =\dfrac{9}{16}$

Answer: The ratio of the two circles is 9 : 16