Final answer:
To find the length of the side of the square that has the same area as a circle with a radius of r cm, use the equation s = √(πr²), where s represents the length of the side of the square.
Step-by-step explanation:
To find the length of the side of the square that has the same area as a circle with a radius of r cm, we can start by finding the area of the circle and then equating it to the area of the square.
The area of a circle is given by the formula A = πr².
So, the area of the circle with radius r cm is πr² cm².
Since the area of a square is equal to the length of its side squared, we can set up the equation πr² = s², where s represents the length of the side of the square.
To find the value of s, we can take the square root of both sides of the equation: s = √(πr²).
Therefore, the length of the side of the square that has the same area as a circle with radius r cm is √(πr²) cm.