The length of the side of the square is 2.6 cm which is equal to the length of the radius of the circle

| June 20, 2021 | education

The length of the side of the square is 2.6 cm which is equal to the length of the radius of the circle, how many times the area of the square is greater than the area of the circle.

If the side of the square is 2.6 cm long, then the diameter of the circle is also 2.6 cm.The radius of the circle is half the diameter of the circle:
r = d / 2 = 2.6: 2 = 1.3 (cm) is the radius of the circle.
To find the area of a square: S = a ^ 2.
Let’s substitute the values into the formula:
S = 2.6 ^ 2 = 6.76 (cm ^ 2) – the area of the square.
To find the area of a circle: S = π * r ^ 2.
Let’s substitute the values into the formula:
S = 3.14 * 1.3 ^ 2 = 3.14 * 1.69 = 5.3066 (cm ^ 2) – area of a circle.
6.76: 5.3066 = 1.27 (times) – the area of the square is greater than the area of the circle
Answer: 1.27 times the area of the square is larger than the area of the circle.



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