Question

3 horses are tethered at 3 corners of a triangular plot of sides 20m,30m,40mwith ropes 7m each. find the area of plot which can be grazed by horses.

Answer 1

22 / 7 * 7 * 7 / 4
154 / 4
77 / 2
38.5sq.m

Answer 2

area of grazed plot = area of $3$ sectors 

ropes lenght = $7m$

$= (theta 1/360)(22/7)r^2 +(theta2/360)(22 / 7)r^2+(theta 3/360)(22 / 7)r^2$
$={ (22/7)(7)(7)[theta 1 + theta 2 + theta 3] } / 360$
$= (154 / 360)(180)$
$= 77 cm2$