Answer :

Here the increase in the length of the rope simply means that there is increase in the radius of the circle within which cow can graze. Now to find the additional area available for grazing can be easily be found by simply subtracting the initial area available for grazing from the new area available.


Initial radius = r = 16 cm


Increased radius = R = 23 cm


Additional ground available = Area of new ground – Initial area eqn1


Initial area of ground = π(r2)


Initial area of ground = π(162)


Initial area of ground = 256π eqn2


Area of new ground = πR2


Area of new ground = π(232)


Area of new ground = 529π eqn3


Now put the values of equation 2 and 3 in equation 1


Additional area of ground available = 529π – 256π


Additional area available = (529 – 256)π (Taking π common)


Additional ground available = 273π




(22×273)/7


= 6006/7


= 858 cm2


The additional ground available is 858 cm2.


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