Geometry questions?

Question

Hi,

Can someone please help me. My daughter needs help with these geometry questions. I'm ashamed to say that i suck at geometry so any help that i can get will be much appreciated.

1)What is the area of a sector of a circle that has a diameter of 10 in. if the length of the arc is 10 in. ?

a)25 sq in
b)50 sq in
c)75 sq in
d)100 sq in

2)In which one of the following figures is AB=AC?
http://img254.imageshack.us/img254/7200/gfwa9.jpg

3)The circumference of the circle in the following diagram is 128 ft. What is the length of AB?
http://img516.imageshack.us/img516/1767/hgfrw6.jpg

a)16 ft
b)22.5 ft
c)45 ft
d) 105.5 ft

4)In the following diagram AE=2, CE=3, and DE=4.What is the length of BE?
http://img340.imageshack.us/img340/2729/jhjhjgr1.jpg

a)5
b)6
c)8
d)12

5)A sample of a plane geometric surface is the

a)surface of a sphere
b)side of a cylinder
c)side of a box
d)side of a cone

6)What is the angle supplementary to the angle measuring 165°12?

a)14°48
b)75°12
c)180°
d)60°

7)If two straight lines intersect and one angle is 30°, what are the other three angles?

a)30°,90°,180°
b)90°,90°,150°
c)30°,150°,150°
d)90°,150°,150°

8)The shortest distance from a point to a straight line is

a)a parallel through the point to the line
b)the perpendicular from the line to the point
c)the perpendicular bisector of the line
d)a vertical line through the point

9)Find the angle complementary to the angle 80°25.

a)9°35
b)90°
c)99°35
d)180°

10)Through what angle does the minute hand of a clock turn in 12 minutes of time?

a)12°
b)36°
c)72°
d)120°

11)What is the total area of a covered box with a length of 4 ft, a width of 3 ft, and a height of 6 ft?

a)38 sq ft
b)84 sq ft
c)96 sq ft
d)108 sq ft

12)A prism whose sides and faces are all congruent squares is a

a)cube
b)parallelepiped
c)pyramid
d)frustm

13)How would you find the volume of the solid in the following figure shown below?
http://img174.imageshack.us/img174/4118/52241994vn3.jpg

a)use the formula for the volume of a prismoid
b)use the formula for the volume of a frustum
c)you can find only an approximate volume of this figure
d)divide it into solids whose volumes you can find

14)A right circular cylinder has a volume of 500 cu in.If the base has a radius of 4 in, what is the altitude of the cylinder?Round your answer to two decimal places.

a)9.95 in
b)19.79 in
c)29.84 in
d)31.25 in

15)One advantage of the prismoidal formula is that you can use it to

a)calculate precise volumes of all prismoids
b)calculate both volume and surface area
c)determine volumes of figures that are not prismoids
d)estimate the volume of solids that are combinations of other solids.

16)A sphere with a diameter of 16mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter.How high is the cylinder?

a)8 mm
b)14 mm
c)16 mm
d)18 mm

17)The area formed by a plane cutting through a solid perpendicular to its axis is a

a)longitudinal section
b)cylindrical section
c)cross section
d)middle section

Answer 1

1) a
2) right bottom [tangents drawn to a circle from the same point are equal in length]
3) a
4) b
[Triangles AEC and DEB are similar triangles. So corresponding sides are proportional. So, AE/DE = CE/BE.]
5) c
6) a
7) c
8) b
9) a
10) c
11) d
12) a
13) d
14) a
15) b
16) c
17) c

Tell if you need logic behind some other answers too. Specify the questions.

Answer 2

Any More Problems? No? ok
1)Circumfrence of a circle is pi(d) = 3.14(10) = 31.4
10 in. divided by this gives 31.84%
Area of a circle is pi(r^2) = 3.14(5^2) = 78.5
So 31.84% of 78.5 is 25 sq in

2) It doesn't look like any of the images are correct, since there is no way to tell where the points start or stop, but my guess would be the lower right one.

3) A circle has 360 degress so 45 degrees is 12.5%
12.5% of 128 is 16 ft

4) You can't figure this if you don't know for sure that the two lines are the same total length or if they both go through the center of the circle....if they do, then DE + CE = 7 so AE + BE must also equal 7. AE = 2 so BE is 5

5) Don't know but i would guess c since its the only one that's flat

6) Supplementary angles add to equal 180 so 180-165 12' is 14 48'

7) There are four angles formed, the angle opposite 30 is also 30. Since a straight line forms a 180 angle, 180-30=150, which would be the other two angles

8) I don't get what this is asking

9) Complementary angles add to 90 so 90-80 25' is 9 35'

10) There are 60 minutes in a complete circle and 360 degrees. 12/60 is 20% so 20% of 360 is 72 degrees

11) surface area? 6 sides - 2 are l*w, 2 are l*h, 2 are w*h
2(3)(4) + 2(3)(6) + 2(4)(6) = 108

12) cube

13) A prismawhat--? A fruwho--? Umm...d?

14) pi(r^2)(h) = volume = 500 = 3.14(4^2)(h)
solve for h = 9.95

15) What?

16) Who?

17) How?

Answer 3

1) 25 sq in. The central angle x which subtends the arc is 2 radians because arc length = rx. area of whole circle is pir^2, so sector is 2/2pi *25pi = 25 in^2

2) The one in the bottom right hand corner. Tangents darw two a circle from an external point ar equal.

3)the arc is 1/8 (45/360) of circle so it is 128/8 = 16 ft.

4) BE = DE*EC/AE = 483/2= 6

5) side of box. plane = flat surface

6)180 -165 12 = 14 degrees 48 minutes

7) 30,150,150 Vertical angles are =. Other pair are supplementary and = 180-30 = 150.

8) b

9)90- 80 25 = 9 degrees 35 minutes

10)360 degree in 60 minutes , so 72 degrees in 12 minutes

11)2(4*3+4*6+3*6) = 2*54=108 ft^2

12) cube

13) d prism + cylinder +cone

14)V= pir^2h so h = V'pir^2 = 500/3.14*4^2 = 9.95 inches

15) a

16)SA of sphere = 4pir^2 = 256pi mm^2
SA cylinder = 2pir^2 +2pirh = 128pi +16pih,
so 16pih = 256pi -128pi = 128pi
h= 128pi/16pi = 8

17) c

Answer 4

1

Answer 5

1) A.
2) 4th one. lower right.
3) A.
4) B.
5) C.
6) A.
7) C.
8) B.
9) A.
10) C.
11) D.
12) A? congruent SQUARES?
13) D
14) A.
15) B.
16) C.
17) C.

Here are your answers, I'm going to become a senior in high school so don't solely depend on my answers. Most of them are right, I'm sure.

Answer 6

What is the surface area of a cylindrical ring where the diameter of the cross section is 6.3 in and the center line has a length of 48 in A. 950.02 in2
B. 529.86 in2
C. 256.22 in2
D. 849.73 in2

Answer 7

Wow a long one!
1)a
2)the last one (bottom right)
3)a
4)a
5)c?
6)a
7)c
8)b
9)c
10)c
11)d
12)a
13)d
14)a
15)a?
16)a
17)c
Sorry but there are too many questions to explain them all. Happy to explain any particular one that you wish.

Answer 8

Dude! This is a perfect example of killing the hen who lays golden eggs instead of picking one egg a day.

Too may questions at a go to answer :)