Question

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  \[r_1^2 + r_2^2\] 

Options

•  >r²

• =r²

• <r²

•  None of these

Answer 1

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`