Question

Theorem: If the sum of the circumference of a circle is equal to the circumference of another circle, then the sum of the diameter of the two circle is also equal to the diameter of the third circle.​

Answer 1

Step-by-step explanation:

The circumference of circle with radius R

1

=2πR

1

.

and the circumference of circle with radiusR

2

=2πR

2

.

∴ The Sum of Circumferences, Sum=2π(R

1

+R

2

) .

Again the circumference of circle with radius R=2πR.

∴ By given condition,

2π(R

1

+R

2

)=2πR⟹R

1

+R

2

=R.