Math Is Fun Forum

Ok I have 5 more to go but I cant picture it or draw it it's so confusing

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?

R=5√2

ok so half the area of 100PI=50 PI

50PI ÷ PI = 50

√50 = 5√2 = Radius

so the area is 50 PI

area= 100PI/2 = 50PI
radius= 50PI ÷ 2 = 25PI

5. What is the radius of a half-piece? (ie, where do I need to cut to make two equal halves out of a piece?)

5- The radius stays the same 10 inches.

So the same area 100 pi is the answer right?

#4- What would the area of the whole pizza be if it were made of half pieces?

does't that mean the same original pizza but with 32 pieces ?

22.5/360 *pi *100= 25/4pi

4. What would the area of the whole pizza be if it were made of half pieces? it mean the original pizza

Hi really stuck on these questions I did 3 left with 2 :

I have a pizza. The radius is 10 inches long. The pizza was cut into 16 equal slices. When 1 slice was left, my sister and I both wanted it, so we agreed to cut it in half, but I like the crust more than she does, so we decided to cut it the "other way." In other words, the two pieces would not be symmetrical. The inside piece would contain all topping, and the outer piece would contain some topping and some crust.

1. Find the area of the whole pizza. PI * r² = 100PI

2. What is the area of one piece of pizza?  (10/360)[(PI)10^2] = 25/9 PI

3. What is the area of a half-piece?(5/360)[(PI)10^2] = 25/18 PI

4. What would the area of the whole pizza be if it were made of half pieces?

5. What is the radius of a half-piece? (ie, where do I need to cut to make two equal halves out of a piece?)

x²+-9x+-9x+81=

-9x+-9x= -18

x²-18+81

taraaaaaaaaa thank you

last -9*-9