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10 Apr 2010, 06:10
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10 Apr 2010, 16:31
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Radius of the circle is r.
Circumference of the circle = \(2*pi*r\)
Total wire is 40 meters long. Wire used for circle with radius r is \(2*pi*r\), rest of the wire that is used to form a square will be \(40 - 2*pi*r\) which is nothing but perimeter of square.
One side of the square is \((40 - 2*pi*r)/4 = 10 - (pi*r)/2\)
Now area of circle + area of square = \(pi*r^2 + (10 - (pi*r)/2)^2\)
Circumference of the circle = \(2*pi*r\)
Total wire is 40 meters long. Wire used for circle with radius r is \(2*pi*r\), rest of the wire that is used to form a square will be \(40 - 2*pi*r\) which is nothing but perimeter of square.
One side of the square is \((40 - 2*pi*r)/4 = 10 - (pi*r)/2\)
Now area of circle + area of square = \(pi*r^2 + (10 - (pi*r)/2)^2\)
