A horse is tied to a peg at one corner of a square-shaped grass field of side \(30\ m\) by means of a \(5\ m\) long rope (see Fig.).
 
YCIND_240416_6148_Circles_10.png
 
Find (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 \(10\ m\) long instead of \(5\ m\). (Use π = 3.14)
 
Ans:
\(m^2\)
Answer variants:
58.875
65.875
24.625
19.625
78.5