the corcumference of two circle are in ratio 2:3 find the ratio of their area
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2:3. (Same as the ratio of circumference).
Step-by-step explanation:
Formula for circumference = 2πr
Let the radius of 1st circle be r₁ and radius of 2nd circle be r₂.
As given, 2πr₁:2πr₂ = 2:3
r₁:r₂ = 2:3.
Formula for area = πr².
πr₁²: πr₂² is to be solved.
=> πr₁²/πr₂²
=> r₁/r₂
=> r₁:r₂ = 2:3
So, the ratio of areas is also same as the ratio of circumference.
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