Question

6 A copper wire when bent in the form of an equilateral triangle has area 121√3cm square
If the same wire is bent into the form of a circle, find the area enclosed by the wire.
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Answer 1

Answer:

Area of an equilateral triangle=43a2

where a=side of the triangle

Now, given that

43a2=1213

a2=121×4

a2=484

a=484

a=22 cm

Therefore,

Length of wire=a+a+a=66 cm

Now, this wire is bent into a circle, so circumference of circle=length of the wire 

So,

2πr=66

2×722×r=66

r=2×2266×7

r=221

Now, 

Area of circle=πr2

                      =722×(221)2

                      =2693

                      =346.5 cm2