Question

The ratio of the radii of two circle is 2:3 , then ratio of their arrea

Answer 1

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radius of one circle (r1) = 2x
radius of other circle (r2) = 3x

area of circle/area of other circle=πr1^2/πr2^2

= (2x)^2/(3x)^2

=4x^2/9x^2

=4/9

= 4:9

answer is 4:9.

HOPE IT HELPS YOU....☺

Answer 2

Given

radio of radii of two circles = 2: 3

To find

ratio of their area

Solution

Let the common multiple be x

so radius of circle = 2x

radius of other circle = 3x

as we know that

area of circle = pi × r^2

ratio of area = pi × ( R 1 )^2 / pi × ( R 2 )^2

pi get cancelled so

ratio of area of circle = ( R 1 )^2 / ( R 2 )^2

= ( 2x )^2 / ( 3x )^2

= 4x^2 / 9x^2

= 4/9

= 4 : 9