Starting weight: 5/6 lb. Of this, Jan used 1/5, which would be (1/5)(5/6) lb,
or 1/6 lb, leaving 4/6 lb, or 2/3 lb. unused.
2/3 lb
Now divide 2/3 lb by 8 portions: ----------------- = (2/24) lb/portion, or
8 portions
1/12 lb/portion.
You have :
--------------
DE arc = ( pi ) ( AD ) ( 2.36 radians / 2 pi radians ) = ( 2/3 ) ( AB ) ( 2.36 radians / 2 )
DE arc = ( 2/3 ( AB ) ( 1.18 radians )
BC arc = ( pi ) ( AB ) ( 1.18 radians / 2 pi radians )
BC arc = ( AB ) ( 0.59 radians )
BC arc / DE arc = ( AB ) ( 0.59 radians ) / ( 2/3 ) ( AB ) ( 1.18 radians )
BC arc / DE arc = ( AB ) ( 0.59 rad ) / ( 2/3 ) ( AB ) ( 1.18 rad )
BC arc / DE arc = ( 3/2 ) ( .59 rad / 1.18 rad ) = 3/4 <-------
You do three fourths times eight and that equals six.
Rectanglearea=legnth timees width
triagnlearea=1/2base times height
ok so we find volume of entier land first
we can cut into triangle an rectangle
triangle=height=650-200=450
base=600
area=1/2*600*450=135000 ft^2
rectangle=200 times 600=120000
add
135000+120000=255000ft^2
find other areas and subtract
areahouse=45*38=1710
areawooded=118*60=7080
frontyard=78*40=3120
add
1710+7080+3120=11910
minus
255000-11910=243090
how many acres are farmed
43560ft^2=1acre
divide both sides by 43560
1ft^2=1/43560 acre
multiply both sides by 243090
243090ft^2=243090/43560acre=5.5805acre=5.6acre rounded
answer is 5.6 acer