if the area of a circle A1 is 25 time the area of a circle A2 then the ratio of their circumference is
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Answer:
The ratio of the two circles is 1:25
Step-by-step explanation:
The area of first circle is A₁
So, the area of other circle will be 25A₁
A₁/A₂ = πr₁/πr₂
A₁/25A₁ = πr₁/πr₂
A₁ and π gets cancelled
So,
1/25 = r₁/r₂ ..........1
Circumference of first Circle be C₁
Circumference of second circle be C₂
So,
C₁/C₂ = 2πr₁/2πr₂
2π gets cancelled
= r₁/r₂
= 1/25 .......[from 1]
So, the ration of cicumference of the two circle is 1:25
HOPE IT HELPS YOU!!
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