Question

a wire is in the shape of a triangle of perimeter 66 CM if the same wire is bent in the shape of a circle find the radius of the circle​

Answer 1

Answer:

Given, Total length of the wire=44cm

∴ The circumference of the circle=2πr=44cm

⇒2×

7

22

×r=44

⇒r=

2×22

44×7

=7cm

Now, Area of the circle=πr

2

=

7

22

×7×7=154cm

2

Now the wire is converted into square,

Then perimeter of square=44cm

⇒4× side=44

⇒ side=

4

44

=11cm

Now, area of square=side×side=11×11=121cm

2

Therefore, on comparing the area of circle is greater than that of square, so the circle enclosed more area.