Question

If the sum of the circumferences of two circles with Radii R1 and R2 is equal to the circumference of a circle of radius R, then

(A) R1 + R2< R (B) R1 + R2> R (C) R1 + R2 = R (D) None of these

Answer 1

C) (R1+R2) = R Also 2piR1+ 2piR2= 2piR so R1+ R2= R

Answer 2

Answer: C) $R=R_1+R_2$

Step-by-step explanation:

Formula to find the circumference is given by :-

$C=2\pi r$, where r is the radius of the circle.

Given : The sum of the circumferences of two circles with Radii R1 and R2 is equal to the circumference of a circle of radius R.

i.e.

$2\pi R_1+2\pi R_2=2\pi R\\\\\Rightarrow\ 2\pi(R_1+R_2)=2\pi R$

Cancelling $2\pi$ from both sides , we get

$R_1+R_2= R\\\\ OR\\\\ R=R_1+R_2$