Answer:
The diameter was
in.
Step-by-step explanation:
The arc of a circle is given by
![s=r\theta](https://tex.z-dn.net/?f=s%3Dr%5Ctheta)
where
s = arc length
r = radius of the circle
θ = measure of the central angle in radians.
From the information given
s = 4 in
θ = 32º
To find the diameter of the original pizza, we use the formula of the diameter of a circle
![d=2r](https://tex.z-dn.net/?f=d%3D2r)
First, we need to convert the angle to radians
![\theta=32\º \cdot \frac{\pi}{180\º} =\frac{8\pi }{45}](https://tex.z-dn.net/?f=%5Ctheta%3D32%5C%C2%BA%20%5Ccdot%20%5Cfrac%7B%5Cpi%7D%7B180%5C%C2%BA%7D%20%3D%5Cfrac%7B8%5Cpi%20%7D%7B45%7D)
Next, solve for r from the arc formula
![r=\frac{s}{\theta} =\frac{4}{\frac{8\pi }{45}} =\frac{45}{2\pi }](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bs%7D%7B%5Ctheta%7D%20%3D%5Cfrac%7B4%7D%7B%5Cfrac%7B8%5Cpi%20%7D%7B45%7D%7D%20%3D%5Cfrac%7B45%7D%7B2%5Cpi%20%7D)
Then, we use the diameter of a circle formula
![d=2r=2(\frac{45}{2\pi })=\frac{45}{\pi }](https://tex.z-dn.net/?f=d%3D2r%3D2%28%5Cfrac%7B45%7D%7B2%5Cpi%20%7D%29%3D%5Cfrac%7B45%7D%7B%5Cpi%20%7D)
Answer:
lbs= 12.5 oz=3200
Step-by-step explanation:
What questions? Idk where the pic is
Answer:
The fourth proportion is 15
2:5 :: 6 : 15
If there are 245 total preschoolers, there will be 105 boys.
- What is unitary method?
- The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.
- Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.
- Recognizing the units and values is crucial when using the unitary technique to a problem.
- Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.
acc to our question-
- Fraction of boys = 3/7
- Fraction of girls = 4/7
- Total number of students = 245
- The number of boys will be:
- = 3/7 × 245.
- = 105 boys
Therefore, there are 105 boys in the school.
learn more about unitary method click here:
brainly.com/question/24587372
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