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viktelen [127]
3 years ago
7

Match the term on the left with its image or description on the right. diameter A) a piece of the circumference of a circle circ

umference B) a segment between two points on a circle that passes through its center radius C) Circle A and a line segment connecting points B and C which are on the circle. secant D) Two circles that share the same center. concentric circles E) Circle A and a line segment connecting points B and C which are on the circle. arc F) the distance around a circle
Mathematics
2 answers:
Alex17521 [72]3 years ago
6 0
The correct answer to this question is:

Diameter - B) a segment <span>between two points on a circle that passes through its center radius
</span>
Circumference - <span> F) the distance around a circle
</span><span>
Radius - </span><span>C) Circle A and a line segment connecting points B and C which are on the circle.
</span><span>
secant - </span><span>E) Circle A and a line segment connecting points B and C which are on the circle.
</span><span>
concentric circles - </span><span>D) Two circles that share the same center.
</span><span>
arc - </span><span>A) a piece of the circumference of a circle circumference.</span>
prohojiy [21]3 years ago
5 0
Answers:
Diameter - B)
Circumference - F)
Radius - C) or <span>E)*</span>
Secant - E) or C)*
Concentric circles - D)
Arc - A)

* Please, note that you described option C and option E with the same exact words. One of the two is supposed to be different.

Let's see the definition of each term of the list on the left in order to find the right description:

<em>Diameter</em> = any segment connecting two points on a circle passing through its center. Therefore, the correct description is B) a segment between two points on a circle that passes through its center.

<em>Circumference</em> = length of the distance around the circle (it's a sort of perimeter of the circle). Therefore, the correct description is F) the distance around a circle

<em>Radius</em> = constant distance from the center to any point on the circle. Therefore, the correct description is C/E) a line segment connecting the center C and a point B on the circle.

<em>Secant</em> = a<span> line that intersects a circle at any two points. Therefore the correct description is </span>E/C) Circle A and a line segment connecting the points B and C which are both on the circle.

<em>Concentric circles</em> = two circles positioned such as the center of the first one coincides with the center of the second one. Therefore the correct description is D) Two circles that share the same center.

<em>Arc</em> = part of the curve along the perimeter of a circle. Therefore, the correct description is A) a piece of the circumference of a circle.
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Answer:

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Step-by-step explanation:

The volume of the cylinder is given by V = πr²h   where r is the radius and h is the height.

The surface area of the cylinder is given by  S= 2πrh + 2πr²

Where πr² gives the area of the base and 2πr² gives the area of the top and bottom surfaces. The surface area S of a cylinder, not including the top and bottom of the cylinder, is therefore S=2πrh.

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96π= π (6*6) (h+2)

96 = 36 (h+2)

96/36= h+2

h= 96/36-2

h= 96-72/36

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h= 4/6

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New height

h + 2= 2/3 + 2

= 2+6/3= 8/3 millimeters

Now S =2πrh

S = 2π(6) (2/3)

S= 8π  millimeters square

New Surface area

S = 2π(6) (8/3)

S= 32π  millimeters square

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