If the circumference of a circle is equal to the perimeter of square, then find the ratio of there areas.?

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Answer

Answer

Is it 4:1

Answer

2*pie*r= 4a a= pie*r/2then put value of a in ratio of area of circle and square

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I hope it is 2:3pie

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2πr²= 4a a= 1/2 πr²put the value of a

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14:11  or 4:pie

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Solution:

Given:
- Circumference of the circle = Perimeter of the square

Let's denote:
- Let the radius of the circle be 'r' and the side length of the square be 's'
- Circumference of the circle = 2πr
- Perimeter of the square = 4s

Equating the two:
2πr = 4s
r = 2s/π

Ratio of Areas:
- Area of the circle = πr^2
- Area of the square = s^2

Now, we need to find the ratio of the areas of the circle and square.

Substitute the values:
- Area of the circle = π(2s/π)^2 = 4s^2/π
- Area of the square = s^2

Calculate the ratio:
Ratio of areas = (Area of circle) / (Area of square)
Ratio of areas = (4s^2/π) / s^2
Ratio of areas = 4/π

Therefore, the ratio of the area of the circle to the area of the square is 4/π.

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area of a circle equal to the perimeter Related: Perimeter of a circle and Pi - Areas Related to Circles, CBSE, Class 10, Mathematics

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