Question

17. The perimeter of a square and the circumference of a circle are equal. If the length of each side of the square is 22
cm, find: perimeter of square , circumference of circle radius of circle ​

Answer 1

Answer:

perimeter of square= 4 x Sides

4 x 22

88

perimeter of square = circumference of circle

circumference of circle = 88

Answer 2

Answer:

• The perimeter of the square = 88 cm
• the circumference of the circle = 88 cm
• the radius of the circle = 14 cm

Step-by-step explanation:

Given :

• The perimeter of a square and the circumference of a circle are equal.
• The length of each side of the square is 22 cm

To find :

• The perimeter of the square
• the circumference of the circle
• the radius of the circle

Solution :

 $\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(1.5,-0.6){\bf\large 22\ cm}\end{picture}$     $\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large r\ cm}\end{picture}$

Side of the square = 22 cm

We know,

Perimeter of the square = 4(side)

➙ Perimeter of the square = 4(22 cm)

➙ Perimeter of the square = 88 cm

➝ Perimeter of the square = Circumference of the circle

So, circumference of the circle = 88 cm

We know,

Circumference of the circle = 2πr

88 cm = 2(22/7) × r

88 cm = 44/7 × r

 r = (88 × 7)/44

 r = 2 × 7

 r = 14 cm

➙ Radius of the circle = 14 cm