a wire bent into a from of a square encloses an area of 121 sq.cm. If the wire is bent in a from of a circle, find the area of the circle
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Step-by-step explanation:
let side of square = a
therfore perimeter of square = length of wire = l
Area of square = a²=121
=>a=√121=11
therfore length of the wire l = 4*11=44
When the wire is bent in the form of a circle
the length acts as the circumference of the circle
=>2*π*r=44 (where r is radius of circle)
2*22/7*r=44
=>r=7
therefore area of circle = πr²
=22/7*7*7
=22*7= 154
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