Question

if the ratio of the two circles is 1:4 yhen what is the ratio of their circumference?​

Answer 1

Answer:

Step-by-step explanation:

Let the area’s of two circles be 1x, 4x.

The formula of area of circle = pie*r*r

The formula of circumference of a circle = 2*pie*r

A1 : A2 = 1x : 4x

pie*r1*r1 : pie*r2*r2 = 1 : 4

(r1)square : (r2)square = 1 : 4

so r1 : r2 = 1 : 2 [ Square root of 1 = 1 and Square root of 4 = 2]

C1 : C2 = 2*pie*r1 : 2*pie*r2

C1 : C2 = r1 : r2 : Final Answer