Question

The ratio of radii of two circles is




2:3 Find the ratio of their areas

Answer 1

let.the area.of small circle be πr^2,,r=2x
and bigger.circle be πR^2,,,R==3x
ratio=πr^2/πR^2=. (2x)^2/(3x)^2
==4x^2/9x^2
=>4/9
so the ratio of the.area is 4:9

Answer 2

hi

The ratio of radii of two circles is is 2:3

let it be 2r and 3r

ratio of their areas = ?

area of circle  = πr²

here r = radius 

area of smaller circle = πr²

                                    => π *2r²

                                    =>π * 4r

area of bigger circle = πr²

                                    => π *3r²

                                    =>π * 9r

ratio = (π * 4r ) / (π * 9r)

=> 4 : 9

=>2:3

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hope it helps u..............