A farmer has a fence that encloses a square plot with an area of 100 square meters. If the farmer uses this fence to enclose a circular flower garden, what will the area of the garden be? (Use π = 3.14. Round your answer to two decimal places.)

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Mathematics

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20 April, 20:33

A farmer has a fence that encloses a square plot with an area of 100 square meters. If the farmer uses this fence to enclose a circular flower garden, what will the area of the garden be? (Use π = 3.14. Round your answer to two decimal places.)

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Micah Jefferson · Answer 1

A square with area of 100 square meters has a side length of 10 meters.

Perimeter of the square = 4 x 10 = 40 m.

Perimeter of a circle is given by 2πr

2 (3.14) r = 40

r = 40/6.28 = 6.37

Area of circle = πr^2 = 3.14 x (6.37) ^2 = 127.39 square meters.