The side of the square is 2.6 cm long. What is the radius of the circle?

The side of the square is 2.6 cm long. What is the radius of the circle? How many times is the area of a square larger than the area of a circle?

In order to find the radius of the circle, the diameter of the circle must be divided by 2. The diameter of the circle is equal to the length of the side of the square and is 2.6 cm, which means:

2.6: 2 = 1.3 (cm) – radius of the circle;

In order to find the area of a square you need:

S = a ^ 2, where S is the area of the square, a is the side of the square;

S = 2.6 ^ 2 = 6.76 (cm ^ 2);

In order to find the area of a circle you need:

S = nr ^ 2, where S is the area of the circle, n = 3.14, r is the radius of the circle;

S = 3.14 * 1.3 ^ 2 = 5.31 (cm ^ 2);

S square – S circle = 6.76 – 5.31 = 1.45.

Answer: 1.45 times the area of a square is larger than the area of a circle.