from a handpicked tutor in LIVE 1-to-1 classes

# 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 cm^{2}

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 cm^{2}

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 cm^{2}. 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.

**☛ Related Questions:**

- From A Circular Card Sheet Of Radius 14 Cm Two Circles Of Radius 35 Cm And A Rectangle Of Length 3 Cm And Breadth 1cm Are Removed As Shown In The Adjoining Figure Find The Area
- A Circle Of Radius 2 Cm Is Cut Out From A Square Piece Of An Aluminum Sheet Of Side 6 Cm What Is The Area Of The Left Over Aluminum Sheet Take 314
- The Circumference Of A Circle Is 314 Cm Find The Radius And The Area Of The Circle Take 314
- A Circular Flower Bed Is Surrounded By A Path 4 M Wide The Diameter Of The Flower Bed Is 66 M What Is The Area Of This Path 3 14

visual curriculum