Question 1178371


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Given:

width of building = {{{30}}} ft
length of building = {{{35}}} ft
length of rope = {{{40}}} ft
total reach of goat = {{{41}}} ft
To solve for the total area, get the sum of the three areas.

{{{A[t]=A[1]+A[2]+A[3]}}}

Area 1 is equal to the one quarter of the area of a {{{6 }}}ft radius circle.

{{{A[1]=(1/4)pi*r^2}}}

{{{A[1]=(1/4)pi*6^2}}}

{{{A[1]=28.274}}}

Area 2 is equals to the one quarter of the area of a {{{11}}} ft radius circle.

{{{A[2]=(1/4)pi*11^2

{{{A[2]=95.03}}}

Area 3 is equals to the three quarters of the area of a {{{41}}} ft radius circle.

{{{A[3]=(3/4)pi*41^2

{{{A[3]=3960.76}}}

total area:

{{{A[t]=28.274+95.03+3960.76}}}

{{{A[t]=4084}}}