Question

If the perimeter of a circle is equal to that of a square, then the ratio of their area is_____​

Answer 1

Step-by-step explanation:

it is 4:pie

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Answer 2

Step-by-step explanation:

Assume that perimeter of the square = 44 cm

Assume that perimeter of the square = 44 cm Side of the square = x

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side 44 = 4 × x

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side 44 = 4 × x x = 44 / 4

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side 44 = 4 × x x = 44 / 4 x = 11 cm

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side 44 = 4 × x x = 44 / 4 x = 11 cmPerimeter of the circle = Perimeter of a square

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side 44 = 4 × x x = 44 / 4 x = 11 cmPerimeter of the circle = Perimeter of a square 2 × pie × r = 44

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side 44 = 4 × x x = 44 / 4 x = 11 cmPerimeter of the circle = Perimeter of a square 2 × pie × r = 44 2 × 22 / 7 × r = 44

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side 44 = 4 × x x = 44 / 4 x = 11 cmPerimeter of the circle = Perimeter of a square 2 × pie × r = 44 2 × 22 / 7 × r = 44 44 / 7 × r =

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side 44 = 4 × x x = 44 / 4 x = 11 cmPerimeter of the circle = Perimeter of a square 2 × pie × r = 44 2 × 22 / 7 × r = 44 44 / 7 × r = r = 44 / 44 / 7

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side 44 = 4 × x x = 44 / 4 x = 11 cmPerimeter of the circle = Perimeter of a square 2 × pie × r = 44 2 × 22 / 7 × r = 44 44 / 7 × r = r = 44 / 44 / 7 r = 44 × 7 / 44

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side 44 = 4 × x x = 44 / 4 x = 11 cmPerimeter of the circle = Perimeter of a square 2 × pie × r = 44 2 × 22 / 7 × r = 44 44 / 7 × r = r = 44 / 44 / 7 r = 44 × 7 / 44 r = 7 cm

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side 44 = 4 × x x = 44 / 4 x = 11 cmPerimeter of the circle = Perimeter of a square 2 × pie × r = 44 2 × 22 / 7 × r = 44 44 / 7 × r = r = 44 / 44 / 7 r = 44 × 7 / 44 r = 7 cmArea of the square = Side × Side

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side 44 = 4 × x x = 44 / 4 x = 11 cmPerimeter of the circle = Perimeter of a square 2 × pie × r = 44 2 × 22 / 7 × r = 44 44 / 7 × r = r = 44 / 44 / 7 r = 44 × 7 / 44 r = 7 cmArea of the square = Side × Side 11 × 11

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side 44 = 4 × x x = 44 / 4 x = 11 cmPerimeter of the circle = Perimeter of a square 2 × pie × r = 44 2 × 22 / 7 × r = 44 44 / 7 × r = r = 44 / 44 / 7 r = 44 × 7 / 44 r = 7 cmArea of the square = Side × Side 11 × 11Area of the square = 121 cm^2

Assume that perimeter of the square = 44 cm Side of the square = x Perimeter of the square = 4 × Side 44 = 4 × x x = 44 / 4 x = 11 cmPerimeter of the circle = Perimeter of a square 2 × pie × r = 44 2 × 22 / 7 × r = 44 44 / 7 × r = r = 44 / 44 / 7 r = 44 × 7 / 44 r = 7 cmArea of the square = Side × Side 11 × 11Area of the square = 121 cm^2Area of the circle = pie × r^2

= 22 / 7 × 7^2

= 22 / 7 × 49

= 22 × 7

Area of the circle = 154 cm^2

Ratio of area of the square to the area of the circle = 121 / 154

= 11 / 14 = 11 : 14

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