Mathematics

If sum of the areas of two circles with radii r1 and r2 is equal to the area of circle of radius r, then :

  1. r = r1 + r2

  2. r > r1 + r2

  3. r2 < r12 + r22

  4. r2 = r12 + r22

Mensuration

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Answer

Given,

Sum of the areas of two circles with radii r1 and r2 is equal to the area of circle of radius r.

π(r1)2 + π(r2)2 = πr2

r12 + r22 = r2

Hence, option 4 is the correct option.

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