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Oh oh alright. Okay 225 pi is my answer.
Onto #8?
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?
OH! So
area = (1/4) * pi * 30^2
= 706.858 (How much is that in pi)
Oh oh!
area = pi * r^2
area = pi * 30^2
area = 2827.433
Alright how about #8?
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?
So that is my answer for number 7 right?
It is 1/4 of the total area.
(1/4) * pi * 50^2 = 1963.495 (how much is that in pi)
Can you show your work, because the teacher will want it. But thanks!!!
Okay now how about number 7?
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?
That was the answer: 5890.485
75 is the 3/4 of 100
Okay I think almost I got it.
If the area = pi * 50^2
area = 7853.98
I have to get 3/4 of 7853.98
How can I do that?
The red area is 3/4 of the whole circle, how can i incorperate that in the equation?
area = pi * r^2
area = pi * 50^2
Is this correct till now?
I think the area of a circle is Area = pi × r^2
50 feet?
I have to show my work, and I don't see the formula anywhere.
Hi,
I read the forums but it wasn't very what the final answers were
Could we start by doing number 6 if that's not too much trouble.
The teacher said I have to use the formula for the area of a circle. What is it? And how can I use it?
THanks
Mathew
I created a new topic and attached the pictures, I named the topic "Areas Review"
It's the samek question but because I couldn't upload a picture here
Attached the picture below.
If there is a goat tied to a rectangular barn on a 50 foot lead and the barn is 20 feet by 20 feet (floor), what is the maximum grazing area? If there are regions you can't find the area of, provide as good an estimate as you can. Assume the goat is tied to a corner outside the barn, cannot get in, and that the barn is not grazing area. (Remember, this will be based on parts of circles, no other shapes...the goat's rope will only get shorter when he tries to go around the barn...)
6. How much of the 50 foot circle can the goat reach without getting interrupted by the barn? What is that area?
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?
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?
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?
10. What is the total grazing area the goat can reach?
Alright, here are the questions i was having trouble with:
If there is a goat tied to a rectangular barn on a 50 foot lead and the barn is 20 feet by 20 feet (floor), what is the maximum grazing area? If there are regions you can't find the area of, provide as good an estimate as you can. Assume the goat is tied to a corner outside the barn, cannot get in, and that the barn is not grazing area. (Remember, this will be based on parts of circles, no other shapes...the goat's rope will only get shorter when he tries to go around the barn...)
6. How much of the 50 foot circle can the goat reach without getting interrupted by the barn? What is that area?
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?
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?
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?
10. What is the total grazing area the goat can reach?
I also need some help with the next lesson, I'll send you the questions after I have lunch
Mathew,
I sent them in and got 20/20 (I figured 17, 18, 19 and 20 by myself)
THANK YOU SO MUCH bobbym
Alright thank you so much for your help! I'll send them and see what I got.
13. If the base of a rectangle is 28 cm and the area is 588 cm^2, what is the height of the rectangle?
A 17.06 cm
B 122.5 sq cm
C 216 sq cm
D 23 cm
E 21 cm
F 51 cm^2
THe answer is 21 (E)
14. If the height of a rectangle is 26.1 m and the base is 17.3 m, what is the area of the rectangle?
A 451.53 m^2
B 122.5 m^2
C 216 m^2
D 430 m^2
E 289 m^2
F 510 m^2
The answer is 451.53 (A)
15. If the height of a parallelogram is 34 cm and the base is 15 cm, what is the area of the parallelogram?
A 178.06 cm^2
B 122.5 cm^2
C 216 cm^2
D 230 cm^2
E 289 cm^2
F 510 cm^2
The answer is 510 (F)
16. What is the area of a parallelogram with height 26 cm, base 16 cm, and side length 28 cm?
A 178.06 sq cm
B 122.5 sq cm
C 216 sq cm
D 416 cm^2
E 28.9 cm
F 510 cm^2
Answer is 416cm^2 (D)
Okay so if A = b * h
then b= A/h
Right?
Then b = 690.84 / 20.2
=34.2 (D)
I got it!
Now what about #13 and #14. What is the formula for the rectangle
13. If the base of a rectangle is 28 cm and the area is 588 cm^2, what is the height of the rectangle?
A 17.06 cm
B 122.5 sq cm
C 216 sq cm
D 23 cm
E 21 cm
F 51 cm^2
14. If the height of a rectangle is 26.1 m and the base is 17.3 m, what is the area of the rectangle?
A 451.53 m^2
B 122.5 m^2
C 216 m^2
D 430 m^2
E 289 m^2
F 510 m^2
How do I do this one?
12. If the area of a parallelogram is 690.84 m^2 and the height is 20.2 m, what is the length of the base?
A 78.06 m
B 22.5 m
C 216 m
D 34.2 m
E 28.9 m
F 51 m