By Team Aakash Byju's | 22nd October 2022

If C1 & C2 are the Circumferences of Circles With Radii R1 & R2, Then

If C1 + C2 = C3,  then the correct answer is  B. R1 + R2 = R3

Detailed Explanation

Consider two small circles with radii R1 and R2. Their circumferences will be C1 and C2 respectively.

Since the circumference of any circle is defined as  C = 2πr, for the given circles,  C1 = 2πR1 and C2 = 2πR2

Now, consider a third circle whose radius is R3 and circumference is C3. Then C3 = 2πR3

Now, consider  C1 + C2 = C3,  then substitute their  formula to get  2πR1 + 2πR2 = 2πR3  2π(R1 + R2) = 2πR3

Divide both sides of the previous equation by 2π, and we get R1 + R2 = R3  => C1 + C2 = C3,  then it implies  R1 + R2 = R3.