We have the formula S= r * theta , where S is arc length , r is radius , and theta is central angle in radians
So AB= 4 * 45* π/180 = π units
Answer:
Option (B). Perimeter of the quadrilateral ABCD= 14.6 units
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices are A(3, 5), B(1, 3), C(3, -1), D(5, 3).
Length of AB = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%7D)
= ![\sqrt{(3-1)^2+(5-3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%283-1%29%5E2%2B%285-3%29%5E2%7D)
= ![\sqrt{8}](https://tex.z-dn.net/?f=%5Csqrt%7B8%7D)
= 2.83 units
Length of AD = ![\sqrt{(3-5)^2+(5-3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%283-5%29%5E2%2B%285-3%29%5E2%7D)
= ![\sqrt{8}](https://tex.z-dn.net/?f=%5Csqrt%7B8%7D)
= 2.83 units
Length of BC = ![\sqrt{(1-3)^2+(3+1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%281-3%29%5E2%2B%283%2B1%29%5E2%7D)
= ![\sqrt{20}](https://tex.z-dn.net/?f=%5Csqrt%7B20%7D)
= 4.47 units
Length of DC = ![\sqrt{(5-3)^2+(3+1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%285-3%29%5E2%2B%283%2B1%29%5E2%7D)
= ![\sqrt{20}](https://tex.z-dn.net/?f=%5Csqrt%7B20%7D)
= 4.47 units
Perimeter of the quadrilateral = AB + AD + DC + BC
= 2.83 + 2.83 + 4.47 + 4.47
= 14.6 units
Option (B) is the answer.
White flour makes up 2 / (2+3) of the total 10 cups: 2/5 of the total 10 cups.
2/5 times 10 is 4 cups.
You'll need 4 cups white flour and 6 cups whole wheat flour, making a total of 10 cups of flour.
Why are you even asking, i'll edit the answer once I know.