Answer:
So the correct option is First one
i.e ![\dfrac{9\pi}{A}=\dfrac{90}{360}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%5Cpi%7D%7BA%7D%3D%5Cdfrac%7B90%7D%7B360%7D)
Step-by-step explanation:
Given:
Area of Shaded part = 9 π square feet
To Find :
Area of Circle = ?
Solution:
90 degree center angle is equivalent to an area of 9 Π square feet
So, 360 degree center is equivalent to area A which is the area of the complete circle.
So the Ratio will be
Setting the given statements in proportion:
![\dfrac{90}{9\pi} =\dfrac{360}{A}](https://tex.z-dn.net/?f=%5Cdfrac%7B90%7D%7B9%5Cpi%7D%20%3D%5Cdfrac%7B360%7D%7BA%7D)
On solving we get the required
![\dfrac{9\pi}{A} =\dfrac{90}{360}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%5Cpi%7D%7BA%7D%20%3D%5Cdfrac%7B90%7D%7B360%7D)
So the correct option is First one
i.e ![\dfrac{9\pi}{A}=\dfrac{90}{360}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%5Cpi%7D%7BA%7D%3D%5Cdfrac%7B90%7D%7B360%7D)
Alternate Method:
Shaded part is of 90°
Area of Shaded part = 9 π square feet
And Full Circle is of 360° that is 4 sector of 90°
![\textrm{Area of Circle}=4\times (Shaded\ part)](https://tex.z-dn.net/?f=%5Ctextrm%7BArea%20of%20Circle%7D%3D4%5Ctimes%20%28Shaded%5C%20part%29)
![\textrm{Area of Circle}=4\times 9\pi](https://tex.z-dn.net/?f=%5Ctextrm%7BArea%20of%20Circle%7D%3D4%5Ctimes%209%5Cpi)
![\textrm{Area of Circle}=36\pi](https://tex.z-dn.net/?f=%5Ctextrm%7BArea%20of%20Circle%7D%3D36%5Cpi)
So the correct option is First one
i.e ![\dfrac{9\pi}{A}=\dfrac{90}{360}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%5Cpi%7D%7BA%7D%3D%5Cdfrac%7B90%7D%7B360%7D)
On solving this we get
![A=36\pi\ feet^{2}](https://tex.z-dn.net/?f=A%3D36%5Cpi%5C%20feet%5E%7B2%7D)
Answer:
y = mx + b
Step-by-step explanation:
Answer: don't know sorry
Step-by-step explanation: