Question

a wire is bent in the form of rectangle having length twice the breadth the same wire is bent in the form of circle it was found that the area of the circle is greater than that of rectangle by 104.5sq.cm . Find the length of the wire<br />

Answer 1

Answer:Here it is...

Step-by-step explanation: by Khan Abdullah...

Answer 2

Answer: 35.80 cm.

Step-by-step explanation:

Given : The area of the portion(circle) made by wire = 104.5sq.cm .

We know that the area of the circle is given by :-

$\text{Area of circle}=\pi r^2\\\\\Rightarrow\ pi r^2=104.5\\\\\Rightarrow\ r^2=\frac{104.5}{\pi}=\frac{104.5}{3.14}\approx33.27\\\\\Rightarrow\ r=\sqrt{33.27}\approx5.77$

Now, the circumference of the circle is given by :-

$\text{Circumference}=2\pi r\\\\\Rightarrow\ \text{Circumference}=2(3.14)(5.7)=35.796\approx35.80$

Hence, the length of the wire = 35.80 cm.