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Q.

If circumferences of two circles are equal, then their areas are [[1]].

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Detailed Solution

If circumferences of two circles are equal, then their areas are equal.
The radius is same for circumference and the area.
The circumference and area of a circle are represented by 2πr and πr2 respectively.
Let the circles with circumference as 2 units.
Determine the value of r by using the circumference.
2×227×r=2 r=722 Determine the area of first circle by substituting 7 22   for r into A=π r 2  .
A= 22 7 × 7 22 × 7 22 A= 7 22  units 2   Determine the area of second circle by substituting 7 22   for r into A=π r 2  .
A= 22 7 × 7 22 × 7 22    A= 7 22  units 2   The areas for both circles are the same which is 7 22  units 2  .
The areas for two circles are equal when their circumferences are equal.
Therefore, the correct answer is equal.
 
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