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?
When a wire is bent in the form of a circle with a radius of 28 cm, its circumference is given by the formula:
Circumference of circle = 2 * π * radius
Circumference = 2 * π * 28 cm = 56π cm
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.
The perimeter of a square is given by:
Perimeter of square = 4 * side
So, in this case:
4 * side = 56π
Divide both sides by 4:
side = (56π) / 4 = 14π cm
Now, to find the area of the square, we square the length of one side:
Area of square = side^2 = (14π)^2 = 196π^2 cm²
To get the numerical value, we can approximate π as approximately 3.14:
Area ≈ 196 * (3.14)^2 ≈ 1936 cm²
So, the area of the square formed by the wire when bent is approximately 1936 cm².
Related Question
View MorePromotion
Download Our Mobile Apps
