In the figure above, 𝐴, 𝐵, and 𝐶 lie on the same line. 𝐵 is the center of the smaller circle, and 𝐶 is the center of the larger circle. If the diameter of the larger circle is 50, what is the radius of the smaller circle?
The diameter of the larger circle is 50.
Therefore, radius of larger circle AC = 25 (as radius = diameter /2)
Now, AC is the diameter of the smaller circle
Therefore, radius of smaller circle = AC / 2 (diameter/2)
From the figure given, it can be easily seen that,
Radius of smaller circle = 1/4 * (Diameter of bigger circle)
= 1/4 * (50)