The figure shows a circle inscribed in a square. The perimeter of the square is 147.36 cm. What is the length of the​ radius?

Answer 1

To find the length of the radius, we need to determine the side length of the square first.

Since the perimeter of the square is given as 147.36 cm, we can calculate the side length by dividing the perimeter by 4 (as there are 4 equal sides in a square):

Side length of square = 147.36 cm / 4 = 36.84 cm

Now, the diameter of the circle is equal to the side length of the square. Since the diameter is twice the length of the radius, we can calculate the length of the radius by dividing the side length by 2:

Radius = 36.84 cm / 2 = 18.42 cm

Therefore, the length of the radius of the inscribed circle is 18.42 cm.