Question

the ratio of the radius of two circles is 2:5 find the ratio of areas​

Answer 1

Step-by-step explanation:

The ratio of the radii of two circles is 2:5.

Let first circle's radius be '2x'

and second circle be '5x'

First circle circumference

Circumference =2πr

= 2 × 22/7 × 2x

= 44/7 × 2x

= (88x)/7

Second circle circumference

Circumference = 2πr

= 2 × 22/7 × 5x

= 44/7 × 5x

= (220x)/7

Ratio of two circles circumference =

= \bf \frac{(\frac{88x}{7})}{(\frac{220x}{7})}

(

7

220x

)

(

7

88x

)

= \bf \frac{88x}{7}\times\frac{7}{220x}

7

88x

×

220x

7

= 2:5

Hence,

so the ratio of the circumference of two circles = 2:5

Answer 2

Answer:

Step-by-step explanation:Let the larger radii be R units

And the smaller radii be r units

So, r:R = 2:5 (given)

As circumference = 2π*radius

So, circumference of larger circle = 2πR

And circumference of smaller circle = 2πr

Ratio, 2πr:2πR = r:R = 2:5

That means, the ratio of circumference will be simply the ratio of their respective radii.

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