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dctjr
25.10.2019 •
Mathematics
5. the circumference of a circle and the perimeter of a square are each 50 cm. which figure has the greater area?
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Ответ:
The circle has a greater area
Step-by-step explanation:
First, we are going to calculate the area of the square.
We know that it's perimeter is 50 cm, so the side of the square is:
50/4 = 12.5 cm
The area of the square is:
A = s^2
A = 12.5^2 = 156.25 cm^2
Now with the circle.
The circumference lenght is: L = 2πr
The radius is: r = L/2π
r = 50 / 2*3.14
r = 7.96 cm, which I'll round this value to 8 cm.
To get the Area of a circle:
A = πr^2
A = 3.14 * 8^2
A = 200.96 cm^2
Therefore, the area of the circle is greater than the square
Ответ:
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