Question

If you bent length 44 cm is bent into a circle find the radius of the circle?If the same wire is bent into the shape of a square what will be the length of each side which figure in encloses more area the circle or the square.? ( take the pi as 22/7

Answer 1

Answer:

r = 7 cm; l = 11cm

The circle encloses more area than the square

Step-by-step explanation:

(a) Radius of circle

The formula for the circumference of a circle is

A = 2πr

r = A/(2π)

Data:

C = 44 in

Calculation:

r = 44/(2 × 22/7)

   = 44/2 × 7/22

   =   2/2 × 7

   = 7 in

(b) Side of square

P = 4l

l =   P/4

  = 44/4

  = 11 in

(c) Areas

(i) Circle

A = πr²

  = 22/7 ×   7²

  = 22/7 × 49

  = 22    ×   7

  = 154 cm²

(ii) Square

A = l²

  = 11²

  = 121 cm²

The circle encloses more area than the square.