32 mThe areas of two circles are in the ratio 9: 16. Find the ratio of

1.	32 mThe areas of two circles are in the ratio 9: 16. Find the ratio of their circumferences
Answer» Let A1 = 9 and A2 = 16 Area of A1 / Area of A2 = 9 / 16 pir1^2 / pir2^2 = 9/16 r1 / r2 = 3 / 4 Now circumference is given by 2pir C1 : C2 = 2pir1 : 2pir2 = 2pi3 : 2pi4 = 3 : 4 Ratio of circumference is 3 : 4.

32 mThe areas of two circles are in the ratio 9: 16. Find the ratio of their circumferences

Answer»

Let A1 = 9 and A2 = 16

Area of A1 / Area of A2 = 9 / 16

pi*r1^2 / pi*r2^2 = 9/16

r1 / r2 = 3 / 4

Now circumference is given by 2*pi*r

C1 : C2

= 2*pi*r1 : 2*pi*r2

= 2*pi*3 : 2*pi*4

= 3 : 4

Ratio of circumference is 3 : 4.