Math Is Fun Forum

but how do i get VE and FE?

And I really need help with this :

18. What is the area of this polygon?

ls_XF    =    53 mm    ls_XV=    72 mm    ls_VR=    16 mm
ls_FB    =    31 mm    ls_BT    =    31 mm    ls_EU    =    47 mm
ls_UL    =    31 mm    ls_TL    =    88 mm    ls_DE=    16 mm
ls_RM=    70 mm    ls_MC=    21 mm    ls_DC=    70 mm

A- 8014 mm2
B- 7030 mm2
C- 6027 mm2
D- 5478 mm2
E- 1782 mm2
F- 1225 mm2

Am ok with my answer for #8 but am confused between #9 # 10 now So

#10-
(3/4 * 50^2 * PI= 1875 PI + 1/4 * 30² * PI = 225 PI + 1/4 * 30² * PI = 225 PI) - 95
2325PI - 95 = 7209.2020292

#9- 9. The areas you found in 7 and 8 overlap each other. How much do they overlap? What *approximate* shape do they make? What is that area?
They overlap 95 but what's the area here?

6. How much of the 50 foot circle can the goat reach without getting interrupted by the barn? What is that area?

6. 3/4 * 50^2 * PI= 1875 PI

7. When the rope goes around the barn, what is the new radius? How much of a circle can it make without hitting the barn or overlapping area you've already found? What is that area?

7- 30 is the new radius. It can make 1/4. The area is 1/4 * 30² * PI = 225 PI

8. When the rope goes around the barn the other way, what is the new radius? How much of a circle can it make without hitting the barn or overlapping area you've already found? What is that area?

8. the radius is 30. It can make 1/4 the area is 1/4 * 30² * PI = 225 PI

9. The areas you found in 7 and 8 overlap each other. How much do they overlap? What *approximate* shape do they make? What is that area?
9. 95. They look like 3 triangles uniting. the area is

(3/4 * 50^2 * PI= 1875 PI + 1/4 * 30² * PI = 225 PI + 1/4 * 30² * PI = 225 PI) - 95
2325PI - 95 = 7209.2020292

10. What is the total grazing area the goat can reach?

7210.2030

9. The areas you found in 7 and 8 overlap each other. How much do they overlap? What *approximate* shape do they make? What is that area?

about 250 Looks like 3 triangles uniting together  the area is

3/4 x 50^2 x π   + 1/4 x 30^2 x π +  1/4 x 30^2 x π =

1875π + 225π + 225π= 2325π

2325PI - 250= 7054.20292

3/4 x 50^2 x π   + 1/4 x 30^2 x π +  1/4 x 30^2 x π =

1875π + 225π + 225π= 2325π

2325PI - 95 = 7209.20292

the radius is 30 right ?

OK just before I do that So  225PI -  95 = 611.858347058

oooh 10 by 10 so 100

yup thats what I have in my notes but I thought that was wrong I get 20 and a half like that overlapping area 2 squares and a half

but they are the same thing So its going to be 1/4 * 30^2 * PI again right?