Answer:
37.931%
Step-by-step explanation:
11 / (11+18)
Answer:
NO
Step-by-step explanation:
Answer: 1 hour and 27 minutes
Answer:
![Ratio = \frac{R^2 - r^2 }{ r^2}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7BR%5E2%20-%20r%5E2%20%7D%7B%20r%5E2%7D)
Step-by-step explanation:
Given
See attachment for circles
Required
Ratio of the outer sector to inner sector
The area of a sector is:
For the inner circle
![r \to radius](https://tex.z-dn.net/?f=r%20%5Cto%20radius)
The sector of the inner circle has the following area
![A_1 = \frac{\theta}{360}\pi r^2](https://tex.z-dn.net/?f=A_1%20%3D%20%5Cfrac%7B%5Ctheta%7D%7B360%7D%5Cpi%20r%5E2)
For the whole circle
![R \to Radius](https://tex.z-dn.net/?f=R%20%5Cto%20Radius)
The sector of the outer sector has the following area
![A_2 = \frac{\theta}{360}\pi (R^2 - r^2)](https://tex.z-dn.net/?f=A_2%20%3D%20%5Cfrac%7B%5Ctheta%7D%7B360%7D%5Cpi%20%28R%5E2%20-%20r%5E2%29)
So, the ratio of the outer sector to the inner sector is:
![Ratio = A_2 : A_1](https://tex.z-dn.net/?f=Ratio%20%3D%20A_2%20%3A%20A_1)
![Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7B%5Ctheta%7D%7B360%7D%5Cpi%20%28R%5E2%20-%20r%5E2%29%20%3A%20%5Cfrac%7B%5Ctheta%7D%7B360%7D%5Cpi%20r%5E2)
Cancel out common factor
![Ratio = R^2 - r^2 : r^2](https://tex.z-dn.net/?f=Ratio%20%3D%20R%5E2%20-%20r%5E2%20%3A%20r%5E2)
Express as fraction
![Ratio = \frac{R^2 - r^2 }{ r^2}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7BR%5E2%20-%20r%5E2%20%7D%7B%20r%5E2%7D)
If you are multiplying P(4),,
P(4)
P•4
=4P