Question

the ratio of radii of two circles is 3:4the area of smaller circle is 36sqcm find the area of bigger circle​

Answer 1

Let us say the r1r1 is the radii of first circle

and r2r2 is the radii of second circle

So, r1:r2=3:4r1:r2=3:4

And for area we have a1,a2a1,a2 be the area of circle1circle1 and circle2circle2 respectively

So the ratio will be a1:a2=π(r1)2:π(r2)2a1:a2=π(r1)2:π(r2)2

ππ will cancel out and ratio will be

a1:a2=(3)2:(4)2a1:a2=(3)2:(4)2

a1:a2=9:16