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If the Sum of the Areas of Two Circles with Radii R1 and R2 is Equal to the Area of a Circle of Radius R, Then R 2 1 + R 2 2 - Mathematics

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प्रश्न

If the sum of the areas of two circles with radii r1 and r2 is equal to the area of a circle of radius r, then  \[r_1^2 + r_2^2\] 

पर्याय

  •  >r2

  • =r2

  • <r2

  •  None of these

MCQ

उत्तर

We have given area of the circle of radius r1 plus area of the circle of radius r2 is equal to the area of the circle of radius r.

Therefore, we have, 

`pir_1^2+pir_2^2=pir^2`

Cancelling pi, we get 

`r_1^2+r_2^2=r^2`

Therefore, `r_1^2+r_2^2=r^2` 

 

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पाठ 13: Areas Related to Circles - Exercise 13.6 [पृष्ठ ७०]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 13 Areas Related to Circles
Exercise 13.6 | Q 19 | पृष्ठ ७०

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