Shazli took a wire of length 44 cm 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 =22/7)
Solution:
Length of the wire = 44 cm
The circumference of the circle is 44 cm.
C = 2πr
44 cm = 2πr
44 = 2 × 22/7 × r
r = 44 cm × 7/44
r = 7 cm
= 22/7 × 7 cm × 7 cm
= 154 cm2
Now, the wire is bent into a square.
Perimeter of square = 44 cm
4 × Side = 44 cm
Side = 44 cm / 4 = 11 cm
Area of square = Side × Side
= 11 cm × 11 cm
= 121 cm2
Thus, the circle encloses more area than square.
☛ Check: NCERT Solutions for Class 7 Maths Chapter 11
Video Solution:
Shazli took a wire of length 44 cm 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?
Class 7 Maths NCERT Solutions Chapter 11 Exercise 11.3 Question 9
Summary:
Shazli took a wire of length 44 cm and bent it into the shape of a circle. The radius of that circle is 7 cm. Also, its area is 154 cm2. If the same wire is bent into the shape of a square, the length of each of its sides is 11 cm. The circle encloses more area than square.
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