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MrRissso [65]
3 years ago
12

Compare and contrast the following parts of a circle: chord, central angle, arc, sector, and segment. Explain how the parts rela

te to each other and how they are different from each other.
Mathematics
2 answers:
Leno4ka [110]3 years ago
7 0
<h2>Answer:</h2>

1. A chord is any line segment between two points on a circle.

2. A central angle is an angle between two radii in a circle.

3. An arc is a part of a circle's circumference between two points.

4. A sector is a region of a circle between two radii.

5. A segment is the smallest part of a circle you get when this is cut by a line.

By comparing these concepts we realize that they are related to circles. For instance, a segment comes up from cutting a circle by a line, and this line is a chord. On the other hand, whenever two lines, rays or line segments meet, they form an angle. The measure of an angle is found when y rotating one of the lines so it lies on the top of the other. So the central angle comes up from the lines between the radii of a circle. All the concepts are related to each other by the concept of circles, but they are different because they measure different things. For instance, the length of a chord can be measured in unit of length while the sector can be measured unit of area.

slega [8]3 years ago
3 0

Answer:

Chord, central angle, arc, sector, and segment  are related to each other as they all are parts of circle only .

They all are different from each other as chord and arc are measured in units whereas sector and segment are measured in unit squares .

Central angle is measured in degree or radians

Step-by-step explanation:

Chord is a line segment joining any two points of a circle .

Central angle is an angle formed by two radii at the centre of a circle .

Arc is the part of circle's circumference .

Sector is a part between two radii and the arc of circle .

Segment is a part between the chord and arc of circle .

They are related to each other as they all are parts of circle only .

They all are different from each other as chord and arc are measured in units whereas sector and segment are measured in unit squares .

Central angle is measured in degree or radians .

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-3.5 x 0.2 =??? ;w;<br><br><br> A. -0.7<br> B. 0.7<br> C. -3.3<br> D. -0.7
Dafna11 [192]

Answer:

A and D

Step-by-step explanation:

It can't be B because of the negative...

It would have to be less than 3.3 since 0.2 is less than and the 3.3 is negative

A and D are the same?

-3.3 * 0.2 = -0.7

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3 years ago
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fiasKO [112]
Answer:X equals 10 yw have a nice day
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I’m stuck can some one help me
abruzzese [7]

Answer:

3) Midpoint is (-4,0.5)

Option A is correct.

4) Midpoint is (2.5,0)

Option B is correct.

5) The factors are (x+4)(x-7)

Option C is correct.

6) The factors are (x+4)(x+2)

Option A is correct.

Step-by-step explanation:

Question 3

Find midpoint of the following:

(2,-7), (-10,8)

The formula used to find midpoint is: Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

We have x_1=2, y_1=-7, x_2=-10,y_2=8

Putting values and finding midpoint

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2-10}{2},\frac{-7+8}{2} )\\Midpoint=(\frac{-8}{2},\frac{1}{2} )\\Midpoint=(-4,0.5 )

So, Midpoint is (-4,0.5)

Option A is correct.

Question 4

Find midpoint of the following:

(2,-10), (3,10)

The formula used to find midpoint is: Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

We have x_1=2, y_1=-10, x_2=3,y_2=10

Putting values and finding midpoint

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2+3}{2},\frac{-10+10}{2} )\\Midpoint=(\frac{5}{2},\frac{0}{2} )\\Midpoint=(2.5,0 )

So, Midpoint is (2.5,0)

Option B is correct.

Question 5

Factor each completely

x^2-3x-28

We will break the middle term and find factors

x^2-3x-28\\=x^2-7x+4x-28\\Taking\:common\\=x(x-7)+4(x-7)\\=(x+4)(x-7)

So, the factors are (x+4)(x-7)

Option C is correct.

Question 6

Factor each completely

x^2+6x+8

We will break the middle term and find factors

x^2+6x+8\\=x^2+4x+2x+8\\=x(x+4)+2(x+4)\\=(x+4)(x+2)

So, the factors are (x+4)(x+2)

Option A is correct.

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