Can a circle with a radius of 5 cm be placed inside a square with a side length of 11 cm?

Given:
Circle:
r = 5 cm;
Square;
a = 11 cm;
Circle inside square =?
Decision:
A circle can be placed inside a square if the diameter of this circle is less than or equal to the side of the square, which can be written as an inequality:
d ≤ a,
where d is the diameter of the circle, equal to twice the radius of the circle.
2r ≤ a
We substitute the given values into the inequality, then:
2 * 5 ≤ 11;
10 ≤ 11.
Therefore, a circle with a radius of 5 cm can be placed inside a square with a side length of 11 cm.
Answer: you can.