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Question
When bent in the form of a circle a wire has a radiud of 28 cm. If it is bent int he form of a square. what will be its area in cm?
7744
5808
1936
3872
ANSWER : 3
Descrption
<p style="margin-left:0px;">When a wire is bent in the form of a circle with a radius of 28 cm, its circumference is given by the formula:</p><p style="margin-left:0px;">Circumference of circle = 2 * π * radius</p><p style="margin-left:0px;">Circumference = 2 * π * 28 cm = 56π cm</p><p style="margin-left:0px;">Now, if the same wire is bent in the form of a square, the perimeter of the square will be equal to the circumference of the circle, which is 56π cm.</p><p style="margin-left:0px;">The perimeter of a square is given by:</p><p style="margin-left:0px;">Perimeter of square = 4 * side</p><p style="margin-left:0px;">So, in this case:</p><p style="margin-left:0px;">4 * side = 56π</p><p style="margin-left:0px;">Divide both sides by 4:</p><p style="margin-left:0px;">side = (56π) / 4 = 14π cm</p><p style="margin-left:0px;">Now, to find the area of the square, we square the length of one side:</p><p style="margin-left:0px;">Area of square = side^2 = (14π)^2 = 196π^2 cm²</p><p style="margin-left:0px;">To get the numerical value, we can approximate π as approximately 3.14:</p><p style="margin-left:0px;">Area ≈ 196 * (3.14)^2 ≈ 1936 cm²</p><p style="margin-left:0px;">So, the area of the square formed by the wire when bent is approximately 1936 cm².</p>
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