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, thenr₁² + r₂²
(a)>r²
(b)=r²
(c) (d)None of these

Answer 1

Answer:

r1² + r2²  is r².

Among the given options option (b) r² is the correct answer.

Step-by-step explanation:

Given :  

Sum of the Areas of two circles with Radius r1 and r2 = Area of circle with Radius r

πr1² + πr2² = πr²

π(r1² + r2²) = πr²

[On cancelling π]

(r1² + r2²) = r²

Hence, r1² + r2²  is r².

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

r1=a and r2=b

πa²+πb²=πr²

a²+b²=r²

so ans is (b)