A copper wire of length 44 cm is to be bent into a square and a circle which will have a larger area
Answers
Answer:
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Step-by-step explanation:
Shazli took a wire of length 44cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? (Take π=
7
22
)
Medium
Solution
verified
Verified by Toppr
Given, Total length of the wire=44cm
∴ The circumference of the circle=2πr=44cm
⇒2×
7
22
×r=44
⇒r=
2×22
44×7
=7cm
Now, Area of the circle=πr
2
=
7
22
×7×7=154cm
2
Now the wire is converted into square,
Then perimeter of square=44cm
⇒4× side=44
⇒ side=
4
44
=11cm
Now, area of square=side×side=11×11=121cm
2
Therefore, on comparing the area of circle is greater than that of square, so the circle enclosed more area.