Answer :

Let the radius of the circular field be r units.

Circumference = 2π r

The area of a circle = πr^{2}

Now, decreasing the perimeter to 50%

New perimeter =3πr

⇒ New radius = 1.5r

Area of new circle = π(1.5r)^{2}

⇒ Area of new circle = 2.25πr^{2}

Increase in area =2.25πr^{2} - πr^{2} =1.25πr^{2}

Per centage increase in the area of circular field

⇒ Percentage increase = 125%

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