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krek1111 [17]
2 years ago
7

What is the area of a sector with measure of arc equal to 90Á and radius equal to 1 foot? 0.25pi sq. ft. 0.5pi sq. ft. pi sq. ft

Mathematics
2 answers:
Semmy [17]2 years ago
5 0
<span>Given a circle with radius r = 8 and a sector with subtended angle measuring 45°, find the area of the sector and the arc length.

They've given me the radius and the central angle, so I can just plug into the formulas. For convenience, I'll first convert "45°" to the corresponding radian value of π/4:
 
A = ((pi/4)/2)(8^2) = (pi/8)(8^2) = 8pi, s = (pi/4)(8) = 2pi

area A = 8π, arc-length s = 2π
Given a sector with radius r = 3 and a corresponding arc length of 5π, find the area of the sector.

 
For this exercise, they've given me the radius and arc length. From this, I can work backwards to find the subtended angle.
Then I can plug-n-chug to find the sector area.
 5pi = (theta)(3), (theta) = (5/3)pi So the central angle is (5/3)π.
Then the area of the sector is:
 A = ((5/3)pi / 2)*(3^2) = ((5/6)pi)*(9) = (15/2)pi A = (15 pi) / 2

</span><span>90/360 = 0.25 pi sq ft</span>
Elis [28]2 years ago
3 0
The area of any sector of a circle can be calculated by multiplying the area of the circle and the angle in degrees over 360. It is expressed as:

Area of a sector = πr²(n/360)

We calculate as follows:


Area of a sector = πr²(n/360)

Area of a sector = π(1²)(90/360)

Area of a sector = 0.25π ft² -----> OPTION 1
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13y-7y=9<br> Solve for y, write it as a reduced fraction.
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6y = 9

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How many three-digit phone prefixes that are used to represent a particular geographic area are possible that have no 0 or 1 in
Sonbull [250]

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The number of possible three-digit phone prefixes that are used to represent a particular geographic area is 640.

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3 years ago
Compute the average number of units consumed: 504, 519, 576, 321, 256, 101, 76, 75, 127, 289, 367, and 511.
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3 0
3 years ago
Read 2 more answers
The volume of a right cylinder is V = πr2h. If we have an oblique cylinder, like in the figure, what is the volume of a cross-se
olchik [2.2K]
Since you did not attach any picture we cannot say for sure what is the correct answer, but we can discuss the options in order to find the most probable correct answer.

First of all, according to the Cavalieri's principle, an oblique cylinder has the same volume as a right cylinder with the same base surface area and same height.
A cross-section of an oblique cylinder will be a small right cylinder with the same base surface area and a height as small as possible.

I guess the oblique cylinder has height h and it is divided into many (probably 10) cross-sections.

Option A: <span>πr2h
This is exactly the volume of the right cylinder, therefore, unless you are given a cross-section of height h (which would be too easy), this won't be the correct answer.

Option B: </span><span>4πr2h
This is 4 times the right cylinder. Again, here the height of the cross-section should</span> be 4h, but it doesn't sound like a possible data (too easy again).

Option C: <span>1 10 πr2h
Here comes a n issue with the notation: I think the right number you meant to write is (1/10)</span>·πr2h and not 110·<span>πr2h.
If I am right, this means that your oblique cylinder of height h is divided into 10 cross-sections, and therefore the volume of each of these cross-sections will be a tenth of the volume of the oblique cylinder, which means </span>1/10·<span>πr2h.

Option D: </span><span>1 2 πr2h
Here, we have the same notation issue as before. I think you meant (1/2)</span>·<span>πr2h.
Here, your oblique cylinder height h should be divided into only 2 cross-sections. Now, we said the cross-section's height should be the smallest as possible, so an oblique cylinder divided only into two pieces doesn't sound good.

Therefore, the most probable correct answer will be C) </span>(1/10)·<span>πr2h</span>
8 0
3 years ago
Read 2 more answers
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