how many inches long is the radius of the largest circle that can fit inside a rectangle 18 inches long and 12 inches wide?

The radius is limited by the width, the lesser of the two dimensions of the rectangle. Two radii equal the width.

To find the radius of the largest circle that can fit inside a rectangle, you need to find the smaller dimension between the length and width of the rectangle.

In this case, the smaller dimension is the width of the rectangle, which is 12 inches.

The diameter of the circle will be equal to the width of the rectangle (12 inches).

The radius of the circle is half the diameter, so you divide the width by 2:

12 inches ÷ 2 = 6 inches

Therefore, the radius of the largest circle that can fit inside the rectangle is 6 inches.