A horse is tied to a peg at one corner of a square-shaped grass field of side \(30\ m\) by means of a \(7\ m\) long rope (see Fig.).
Determine (i) the area of that part of the field in which the horse can graze.
Ans: \(m^2\)
(ii) the increase in the grazing area if the rope were \(12\ m\) long instead of \(7\ m\). (Use π = 3.14)
Ans: \(m^2\)
Answer variants:
74.575
81.575
43.465
113.04
38.465