The areas of the two circle are in the ratio 4 : 9. What is the ratio of their circumference?
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Answer:
There answer is in book see page 74
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Answer: 2: 3
Step-by-step explanation:
Let the area of the first circle be A1 and that of the second circle be A2, radius of the first circle be R1 and that of the second circle be R2, and the circumference of the first circle be C1 and that of the second circle be C2.
According to the question
A1/A2 = πR1²/πR2²
4/9 = R1²/R2²
2/3 = R1/R2
Therefore
C1/C2 = 2πR1/2πR2
C1/C2 = 2/3
Therefore C1:C2 = 2:3
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