ria took a wire of length 44cm and bend it into a shape of circle find the radius of that circle also find its area if the same wire is bent into the shaape of square what will be the length of each of its side which figure enclose more area
r = 44/2pi = 7 cm
area = pi (49) = 154 cm^2
square
side = 11
area = 121 cm^2
To find the radius of the circle, we can use the formula for the circumference of a circle, which is given by:
C = 2πr
In this case, the length of the wire is given as 44 cm, so we can equate it to the circumference of the circle:
44 = 2πr
To find the radius (r), we can rearrange the equation:
r = 44 / (2π)
Once we find the value of r, we can calculate the area of the circle using the formula:
A = πr^2
To find the length of each side of the square made from the same wire, we need to consider that the perimeter of a square is simply the sum of all four sides. Since we know the perimeter is 44 cm, we can divide it equally among the four sides:
44 / 4 = 11 cm
Now, to determine which figure encloses more area, we need to compare the area of the circle and the area of the square. Whichever figure has a greater area will enclose more space.
To calculate the area of the square, we use the formula:
A = side^2
In this case, the length of each side is given as 11 cm, so we can calculate the area:
A = 11^2 = 121 cm^2
Comparing the area of the circle and the square, we can determine which one encloses more space.