Question

find the ratio of the areas of two circles who's radii is 7 cm and 14 cm
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Answer 1

Answer:1/4

Step-by-step explanation:

area of smaller circle = $7^{2} \pi = 49\pi$

area of bigger circle=$14^{2} \pi = 196\pi$

Ratio= $\frac{49\pi }{196\pi } = 1/4$

Answer 2

Given,

The radius of two circles are $7 cm$ and $14cm$

We have to find the ratio of areas of two circle

Formula,

Area of circle $= \pi r^{2}$

Case1: radius $r=7cm$

Put  $r=7cm$ in the above formula we get one circle area

Area $= 7^{2}\pi$

$= 7\times7\times\pi$

$= 49\pi$

Case2: radius $r=14 cm$

Area $= 14^{2}\pi$

$= 14\times14\times \pi$

$= 196\pi$

We have to dived both the areas

$= \frac{49\pi }{196\pi }$

$= \frac{1}{4}$

The ratio of the areas of the circles is $1:4$

Therefore, the answer is $1:4$.