Question

A goat tied by a rope 5/2m long to a peg in the ground.if the goat eats a square metre of grass in 28min.how long will it take to eat all within its reach

Answer 1

Step-by-step explanation:

Area grazed by goat = area of circle with radius $\frac {2}{5}$ m.

$=\pi\: (\frac {2}{5}) ^2 \\</p><p>=\frac {4}{25}\pi\:m^2$

$\because$ the goat grazes 1 square m area in 28 minutes.

$\therefore$ total time taken

$=\frac {4}{25}\pi\times 28\\</p><p>=\frac {4}{25}\times \frac{22}{7} \times 28\\</p><p>=\frac {4}{25}\times 22 \times 4\\</p><p>=\frac {4\times 22 \times 4}{25}\\</p><p>=\frac {352}{25}\\</p><p>=14.08 \: minutes$