Please check this out I think it’s correct !!!
So, there is a rectangular park with longer side (length) 150 yards and shorter side (width) 125 yards.
so walking around the rectangular park once is like covering the Perimeter (p) of the rectangular park.
So, lets find the perimeter of the park.
Perimeter of rectangle = 2 ( l + w)
= 2 ( 150 + 125 )
= 2 * 275
= 550 yards
Now, walking around the park two times is like doubling the Perimeter of the rectangle. So, when Debbie walks around the park 2 times, he covers the perimeter of the rectangular field twice.
i.e. Debbie walked 2 * Perimeter
= 2 * 550
= 1100 yards
Now, If Debbie wanted to walk 1,000,000 yards, she has to walk the rectangular park (1,000,000 / the Perimeter of the park)
i.e. 1,000,000 / 550
= 1818.18 times
So,
(a) she walks 1100 yards
(b) She have to walk 1818.18 times
Answer:
Formula for the Arc length is given by:
![\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}](https://tex.z-dn.net/?f=%5Ctext%7BArc%20length%7D%20%3D%202%20%5Cpi%20r%20%5Ccdot%20%5Cfrac%7B%5Ctheta%7D%7B360%5E%7B%5Ccirc%7D%7D)
As per the statement:
radius of circle(r) = 6 units
Angle (
) =
radian
Use conversion:
![1 rad = \frac{180}{\pi}](https://tex.z-dn.net/?f=1%20rad%20%3D%20%5Cfrac%7B180%7D%7B%5Cpi%7D)
= ![\frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}](https://tex.z-dn.net/?f=%5Cfrac%7B180%7D%7B%5Cpi%7D%20%5Ccdot%20%5Cfrac%7B7%20%5Cpi%7D%7B8%7D%20%3D%20%5Cfrac%7B1260%7D%7B8%7D%20%3D%20157.5%5E%7B%5Ccirc%7D)
then;
substitute these given values we have;
Use value of ![\pi = 3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D%203.14)
![\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}](https://tex.z-dn.net/?f=%5Ctext%7BArc%20length%7D%20%3D%202%5Ccdot%203.14%20%5Ccdot%20%286%29%20%5Ccdot%20%5Cfrac%7B157.5%5E%7B%5Ccirc%7D%7D%7B360%5E%7B%5Ccirc%7D%7D)
or
![\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375](https://tex.z-dn.net/?f=%5Ctext%7BArc%20length%7D%20%3D%202%5Ccdot%203.14%20%5Ccdot%20%286%29%20%5Ccdot%200.4375)
Simplify:
![\text{Arc length}=16.485](https://tex.z-dn.net/?f=%5Ctext%7BArc%20length%7D%3D16.485)
Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units
Answer:
the answer is 16
Step-by-step explanation:
its 16 because 2 quart= 8 cups
and 4pints = 8 cups