Question

A goat is tied to one corner of a square field of side 8m by a rope 3m long. Find the area it
can graze? Also find the area the goat cannot graze.

please help

Answer 1

Answer:

The answer is

Step-by-step explanation:

from the question we have ,

side of the square field =8m

length of the rope = 3m

so the area of total field = $x^{2}$

                                        = $8^{2}$

                                        = 64 $m^{2}$

area  the goat graze = $\pi r^{2}$

                                 = $\frac{22}{7}$ × $3^{2}$

                                 = 3.14 × 6

                                 = 18.84 $m^{2}$

now we must find the 1/4th part of the area of the goat graze because the goat is tied in the corner .

∴ the area that the goat can graze = 18.4/4

                                                           = 4.71 $m^{2}$

∴ the area that the goat cannot graze = ( 64 - 4.71 )

                                                                = 59.83 $m^{2}$