Answer:
C=6π
Step-by-step explanation:
It is given that, two circles are identical. The radius of first circle is 2x and the diameter of other circle is 2x+3.
If identical, it means that the radius of both circles are same i.e.
[tex]2x=\dfrac{2x+3}{2}\ \ (\because\ r=\dfrac{D}{2}, d=\text{diameter})\\\\4x=2x+3\\\\2x=3\\\\x=1.5[/tex]
Radius of both circles is 2(1.5)=3
The circumference of a circle is given by :
[tex]C=2\pi r\\\\C=2\pi (3)\\\\C=6\pi[/tex]
So, the circumference of each circle is 6π.
