what is the area of the largest circle that will fit in a square with area 64 cm squared

please help me its confusing

We need to find the length of a side of the square -- which is the diameter of the circle.

A = s^2
64 = s^2
8 = s

The diameter of the circle is 8 cm. The radius is 4 cm

Area of a circle:

A = pi * r^2
A = 3.14 * 4^2
A = ?

To find the area of the largest circle that can fit in a square, you need to first determine the length of each side of the square.

To do this, take the square root of the area of the square. In this case, the area of the square is given as 64 cm^2. Therefore, the length of each side of the square is the square root of 64, which is 8 cm.

Since the square is composed of four equal sides, the diameter of the largest circle that can fit inside the square will be equal to the length of each side of the square, which is 8 cm.

The formula to find the area of a circle is A = πr^2, where A represents the area and r represents the radius of the circle.

To find the area of the largest circle that can fit inside the square, we need to find the radius first. The radius of a circle is half of its diameter.

In this case, the diameter is 8 cm, so the radius will be 8 cm / 2 = 4 cm.

Now, plug this radius value into the area formula and solve for A:

A = π(4 cm)^2
= π(16 cm^2)
≈ 50.27 cm^2

Therefore, the area of the largest circle that can fit inside the given square with an area of 64 cm^2 is approximately 50.27 cm^2.