Math Is Fun Forum / Circles: Chords, Radii, and Arcs

zee-f · 2012-10-30 07:30:15

Hi everybody!

I need help seeing if I answered the following questions correctly

(The Image the questions are talking about is below)

#1- I choose A

1. If the diameter of circle M is 20, and the length of line segment DF is 12, what is the length of segment MJ?
A 6
B 45
C 4
D 8
E 17
F 3

#2- I choose B

2. If the measure of arc BFE is 80 degrees, then what is the measure of angle BME?
A 37 deg
B 80 deg
C 9 deg
D 23 deg
E 17 deg
F 41 deg

#3 I choose F

3. If there were an imaginary angle ACB, what would the measure of that angle be? (Hint: Remember that a line is an angle with a measure of 180 degrees, or that a circle has a total arc measure of 360 degrees.)
A 45 deg
B 19 deg
C 30 deg
D 60 deg
E 27 deg
F 90 deg

Thanks

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bobbym · 2012-10-30 08:45:47

Hi zee-f;

For 1) I have D.

For 2) I agree.

For 3) I agree.

zee-f · 2012-10-30 09:08:20

I agree that #1 is D but I was stuck between subtracting or just or dividing the 12

zee-f · 2012-10-30 09:09:25

(Talking about the same picture)

#4- I choose E

4. If angle EMA has a measure of 100 degrees, what is the measure of arc EDA?
A 77 deg
B 180 deg
C 15 deg
D 26 deg
E 100 deg
F 164 deg

#5- I choose E

5. If I had an imaginary line from M to H, with a length of 15, and told you that line segment HI had a length of 9, what would the radius of circle M be?
A 12
B 9
C 18
D 17
E 15
F 24

#6- I choose E

6. Imagine there is a line segment AD, and a line segment BF. If the measure of angle DAB is 60 degrees, what is the measure of angle DFB?
A 54 deg
B 167 deg
C 135 deg
D 175 deg
E 30 deg
F 120 deg

#7- I choose D

7. If angle EMA is 95 degrees, what is the measure of angle BME?
A 85 deg
B 25 deg
C 56 deg
D 34 deg
E 75 deg
F 46 deg

#8- I choose B

8. If I drew a line segment from A to C, and the radius of circle M was 1, what would line segment AC be?
A sqrt 7
B sqrt 2
C sqrt 8
D sqrt 13
E sqrt 4
F sqrt 3

9- I choose A.

9. If the diameter of circle M is 12, what would the length of MI be?
A 12
B 8
C 27
D 6
E 2
F 9

#10- I choose D

10. If imaginary triangle DJE were a 30-60-90 triangle, with angle EDJ as the 30 degree angle, and chord DF had a length of 18, what would the length of line segment DE be?
A 5
B 6
C 27
D 6*sqrt(3)
E 10
F 12

bobbym · 2012-10-30 09:15:59

Hi;

I used Pythagoras there.

zee-f · 2012-10-30 10:11:16

Isn't line segment DJ half of DF. So since line segment DF= 12 line segment DJ= 6 ?

So you used the sides of 6 and the hypoteneuse of 20
6^2 + b^2 = 20^2 ?????

bobbym · 2012-10-30 10:13:29

6^2 + b^2 = 10^2

zee-f · 2012-10-30 10:25:09

That is what I get

a^2 + b^2 = c^2

6^2 + b^2 = 10^2

Then we simplify:

36 + b^2 = 20

Then we solve for b:

b^2 = 20 - 36

b^2 = -16

Take the square root of both sides:

SQRT b^2 = SQRT -16

b = -4

bobbym · 2012-10-30 10:26:30

Hi;

36 + b^2 = 20

10^2 is not 20.

zee-f · 2012-10-30 10:33:33

but why did you use 10^2 ?
I am getting really confused for some reason I mean everything was clear when I read the lesson but some problems really confuse the whole thing

zee-f · 2012-10-30 10:35:19

ooooooh since we divided the 12 by half the 20 by half to I get it now

bobbym · 2012-10-30 10:37:20

The radius is half the diameter, so side MD is 10. This is the hypotenuse of right triangle.

zee-f · 2012-10-30 10:40:37

Thanks bobbym for all the help

(Talking about the same picture) I also really need help checking my answers on these

#4- I choose E

4. If angle EMA has a measure of 100 degrees, what is the measure of arc EDA?
A 77 deg
B 180 deg
C 15 deg
D 26 deg
E 100 deg
F 164 deg

#5- I choose E

5. If I had an imaginary line from M to H, with a length of 15, and told you that line segment HI had a length of 9, what would the radius of circle M be?
A 12
B 9
C 18
D 17
E 15
F 24

#6- I choose E

6. Imagine there is a line segment AD, and a line segment BF. If the measure of angle DAB is 60 degrees, what is the measure of angle DFB?
A 54 deg
B 167 deg
C 135 deg
D 175 deg
E 30 deg
F 120 deg

#7- I choose D

7. If angle EMA is 95 degrees, what is the measure of angle BME?
A 85 deg
B 25 deg
C 56 deg
D 34 deg
E 75 deg
F 46 deg

#8- I choose B

8. If I drew a line segment from A to C, and the radius of circle M was 1, what would line segment AC be?
A sqrt 7
B sqrt 2
C sqrt 8
D sqrt 13
E sqrt 4
F sqrt 3

9- I choose A.

9. If the diameter of circle M is 12, what would the length of MI be?
A 12
B 8
C 27
D 6
E 2
F 9

#10- I choose D

10. If imaginary triangle DJE were a 30-60-90 triangle, with angle EDJ as the 30 degree angle, and chord DF had a length of 18, what would the length of line segment DE be?
A 5
B 6
C 27
D 6*sqrt(3)
E 10
F 12

bobbym · 2012-10-30 10:45:35

Hi;

4) E , I agree.

Let's stop right here.

5) Your answer of 15 is impossible. The hypotenuse is 15 and it is always the longest side of a right triangle. Please try again.

zee-f · 2012-10-30 11:27:01

18 *1/2 = 9 So the answer would be 9

bobbym · 2012-10-30 11:30:35

How long is IH?

zee-f · 2012-10-30 11:40:38

IH=9

oh so
15^2 - 9^2 = 225- 81=144

√144 = 12

So the answer is 12

bobbym · 2012-10-30 11:43:40

That is correct!

For 6) I am getting F.

zee-f · 2012-10-30 12:25:46

Thanks for all the help am going to take a rest a little been sitting on the computer for like more than 3 hours

Thank you so so much for all the help really appreciate it

zee-f · 2012-10-30 12:26:54

I will review #6-#10 tomorrow

bobbym · 2012-10-30 12:27:12

Hi;

Did you check number 6?

Then get some rest. See you tomorrow.

zee-f · 2012-10-31 00:37:30

Hi,

#6- Imagine there is a line segment AD, and a line segment BF. If the measure of angle DAB is 60 degrees, what is the measure of angle DFB?

#6-
A 54 deg
B 167 deg
C 135 deg
D 175 deg
E 30 deg
F 120 deg

I agree that it is 120 deg because The measure of an inscribed angle is equal to one-half the degree measure of its intercepted arc. So since I know that angle angle DAB has a measure of 60 degrees, I can know that arc fb must have a measure of 120 degrees, and the measure of a angle is equal to the length of the arc it defines. So the arc is 120 degrees So the measure of angle DFB is 120 deg

bobbym · 2012-10-31 01:00:37

Hi;

Okay then I am getting 7 A.

zee-f · 2012-10-31 02:27:48

Did you subtract 180-95 and got 85 so that is the answer ?

zee-f · 2012-10-31 02:35:44

I like my answer on #8 but

9- I choose D.

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#1 2012-10-30 07:30:15

Circles: Chords, Radii, and Arcs

#2 2012-10-30 08:45:47

Re: Circles: Chords, Radii, and Arcs

#3 2012-10-30 09:08:20

Re: Circles: Chords, Radii, and Arcs

#4 2012-10-30 09:09:25

Re: Circles: Chords, Radii, and Arcs

#5 2012-10-30 09:15:59

Re: Circles: Chords, Radii, and Arcs

#6 2012-10-30 10:11:16

Re: Circles: Chords, Radii, and Arcs

#7 2012-10-30 10:13:29

Re: Circles: Chords, Radii, and Arcs

#8 2012-10-30 10:25:09

Re: Circles: Chords, Radii, and Arcs

#9 2012-10-30 10:26:30

Re: Circles: Chords, Radii, and Arcs

#10 2012-10-30 10:33:33

Re: Circles: Chords, Radii, and Arcs

#11 2012-10-30 10:35:19

Re: Circles: Chords, Radii, and Arcs

#12 2012-10-30 10:37:20

Re: Circles: Chords, Radii, and Arcs

#13 2012-10-30 10:40:37

Re: Circles: Chords, Radii, and Arcs

#14 2012-10-30 10:45:35

Re: Circles: Chords, Radii, and Arcs

#15 2012-10-30 11:27:01

Re: Circles: Chords, Radii, and Arcs

#16 2012-10-30 11:30:35

Re: Circles: Chords, Radii, and Arcs

#17 2012-10-30 11:40:38

Re: Circles: Chords, Radii, and Arcs

#18 2012-10-30 11:43:40

Re: Circles: Chords, Radii, and Arcs

#19 2012-10-30 12:25:46

Re: Circles: Chords, Radii, and Arcs

#20 2012-10-30 12:26:54

Re: Circles: Chords, Radii, and Arcs

#21 2012-10-30 12:27:12

Re: Circles: Chords, Radii, and Arcs

#22 2012-10-31 00:37:30

Re: Circles: Chords, Radii, and Arcs

#23 2012-10-31 01:00:37

Re: Circles: Chords, Radii, and Arcs

#24 2012-10-31 02:27:48

Re: Circles: Chords, Radii, and Arcs

#25 2012-10-31 02:35:44

Re: Circles: Chords, Radii, and Arcs

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