Question

a wire in the form of a rectangle 11m long and 8m wide is re-bent in form of circle find area of cirlcle

Answer 1

Hi there!

Dimensions of Rectangle:
▶ Length, l = 11 m
▶ Breadth, b = 8m

Let the Radius of the circle be = r

ATQ,

Perimeter of Rectangle = Perimeter (Circumference) of Circle

2πr = 2 ( l + b ) 

2 × 22/7 × r = 2 ( 11+8)

r = 2 × 19 × 7/ 2 × 22

r = 6.04 cm 

Now,
Area of circle = πr²

= 22/7 × 6.04 × 6.04 

= 114.65 cm²

Cheers!

Answer 2

heya!

here's ur answer frnd...

perimeter of rectangle=circumference of circle

given length of the rectangle is 11m and breadth is 8m.

perimeter of the rectangle=2(l+b)

=2(11+8)

=2×19

=38m

therefore circumference of circle is also 48m

2πr=38m

2×22/7×r=38m

44/7×r=38m

r=38/1×7/44

r=19/1×7/22

r=133/22m

area of the circle=πr²

=22/7×133/22×133/22

=19×133/22

=2527/22

=114.86m²

hope this helps...