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**demha****Member**- Registered: 2012-11-25
- Posts: 195

I'm not understanding as to how to solve these. I would really appreciate a good explanation as to how to solve them. Maybe you could create a problem similar to one below and solve it step-by-step explaining what to do (I would REALLY love that ).

What is the radius if:

1. n=30 L=1/3xy(pi)

A 6xy

B8xy

C2xy

D10xy

E 3xy

F 14xy

2. n=40 L=8/9(t)(pi)

A 20t

B5t

C9t

D18t

E 12t

F 4t

3. n=15 L=(21/36)pi

A 7

B21

C28

D62

E 56

F 14

4. n=5 L=1/2pi

A 24

B30

C45

D18

E 66

F 39

5. n=18 L=6(y)pi

A 30y

B45y

C120y

D90y

E 15y

F 60y

*Last edited by demha (2013-08-28 04:42:33)*

"The thing about quotes on the Internet is you cannot confirm their validity"

~Abraham Lincoln

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,198

hi demha,

I'm not getting these either at the moment. If L is an arc of a circle but what is n ?

Or can you post a diagram?

LATER EDIT:

Is n the angle at the centre?

So what fraction is that angle of a complete turn. eg 90 degrees is one quarter of 360.

That is the same as the fraction made by arc length divided by circumference.

ie.

This seems to work in the sense that each gives one of the multi-choice answers.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**demha****Member**- Registered: 2012-11-25
- Posts: 195

This is what I got and the teacher said they were all correct. Thank you for your help

1. c correct

2. f correct

3. a correct

4. d correct

5. f correct

"The thing about quotes on the Internet is you cannot confirm their validity"

~Abraham Lincoln

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**demha****Member**- Registered: 2012-11-25
- Posts: 195

I have some more from my next lesson. I would like to know if I got them right.

Area of Circles and Sectors

~What is the area of the circle if the radius is: ~

1. 4 - i said C

A 23*pi

B 18*pi

C 16*pi

D 34*pi

E 41*pi

F 60*pi

2. SQRT(3) - i said B

A 9*pi

B 3*pi

C 1*pi

D 5*pi

E 6*pi

F 7*pi

3. 7 - i said E

A 67*pi

B 53*pi

C 75*pi

D 82*pi

E 49*pi

F 34*pi

4. 6x - i said D

A 29 x^2 * pi

B 84 x^2 * pi

C 65 x^2 * pi

D 36 x^2 * pi

E 15 x^2 * pi

F 75 x^2 * pi

5. 10 - i said A

A 100*pi

B 89*pi

C 54*pi

D 72*pi

E 37*pi

F 55*pi

~What is the radius if the area of the circle is: ~

6. 9(PI) - i said F

A 7

B 2

C 5

D 6

E 4

F 3

7. 4x^2(PI) - i said B

A 5x

B 2x

C 9x

D 3x

E 6x

F 1x

8. 25(PI) - i said A

A 5

B 7

C 9

D 15

E 8

F 4

9. 81(PI) - i said A

A 9

B 3

C 5

D 7

E 2

F 6

10. 5(PI) - i said D

A sqrt 7

B sqrt 3

C sqrt 8

D sqrt 5

E sqrt 4

F sqrt 9

11. (9/16)PI - i said E

A 7/6

B 3/1

C 5/2

D 9/5

E 3/4

F 4/1

12. 25y^2(PI) - i said D

A 9y

B 3y

C 6y

D 5y

E 2y

F 10y

13. 16z^2(PI) - i said C

A 9z

B6z

C4z

D7z

E 5z

F 2z

14. t^2(PI) - i said D

A 3.146

B 5

C 2

D t

E 9

F 7

15. (PI) - i said E

A 2

B 6

C 8

D 3

E 1

F 5

~What is the area of the sector if the radius is 6 and the degree measure is: ~

16. 26 - i said C

A 1.9*pi = 9.523

B 6.7*pi = 3.491

C 2.6*pi = 8.168

D 5.1*pi = 7.054

E 9.2*pi = 3.115

F 7.8*pi = 1.274

17. 30 - i said F

A 6*pi

B 5*pi

C 9*pi

D 1*pi

E 6*pi

F 3*pi

18. 50 - i said A

A 5*pi

B 4*pi

C 3*pi

D 9*pi

E 2*pi

F 7*pi

19. 90 - i said D

A 8*pi

B 3*pi

C 1*pi

D 9*pi

E 7*pi

F 2*pi

20. 120 - i said F

A 23*pi

B 74*pi

C 89*pi

D 24*pi

E 59*pi

F 12*pi

"The thing about quotes on the Internet is you cannot confirm their validity"

~Abraham Lincoln

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,198

hi demha

I'm really pleased you got the others right. Excellent! OK, let's have a look at the new ones:

Area of Circles and Sectors

~What is the area of the circle if the radius is: ~

1. 4 - i said C

A 23*pi

B 18*pi

C 16*pi

D 34*pi

E 41*pi

F 60*pi

Correct.

2. SQRT(3) - i said B

A 9*pi

B 3*pi

C 1*pi

D 5*pi

E 6*pi

F 7*pi

Correct!

3. 7 - i said E

A 67*pi

B 53*pi

C 75*pi

D 82*pi

E 49*pi

F 34*pi

Correct!

4. 6x - i said D

A 29 x^2 * pi

B 84 x^2 * pi

C 65 x^2 * pi

D 36 x^2 * pi

E 15 x^2 * pi

F 75 x^2 * pi

Correct!

5. 10 - i said A

A 100*pi

B 89*pi

C 54*pi

D 72*pi

E 37*pi

F 55*pi

Correct!

~What is the radius if the area of the circle is: ~

6. 9(PI) - i said F

A 7

B 2

C 5

D 6

E 4

F 3

Correct!

7. 4x^2(PI) - i said B

A 5x

B 2x

C 9x

D 3x

E 6x

F 1x

Correct!

8. 25(PI) - i said A

A 5

B 7

C 9

D 15

E 8

F 4

Correct!

9. 81(PI) - i said A

A 9

B 3

C 5

D 7

E 2

F 6

Correct!

10. 5(PI) - i said D

A sqrt 7

B sqrt 3

C sqrt 8

D sqrt 5

E sqrt 4

F sqrt 9

Correct!

11. (9/16)PI - i said E

A 7/6

B 3/1

C 5/2

D 9/5

E 3/4

F 4/1

Correct!

12. 25y^2(PI) - i said D

A 9y

B 3y

C 6y

D 5y

E 2y

F 10y

Correct!

13. 16z^2(PI) - i said C

A 9z

B6z

C4z

D7z

E 5z

F 2z

Correct!

14. t^2(PI) - i said D

A 3.146

B 5

C 2

D t

E 9

F 7

Correct!

15. (PI) - i said E

A 2

B 6

C 8

D 3

E 1

F 5

Correct!

~What is the area of the sector if the radius is 6 and the degree measure is: ~

16. 26 - i said C

A 1.9*pi = 9.523

B 6.7*pi = 3.491

C 2.6*pi = 8.168

D 5.1*pi = 7.054

E 9.2*pi = 3.115

F 7.8*pi = 1.274

Correct!

17. 30 - i said F

A 6*pi

B 5*pi

C 9*pi

D 1*pi

E 6*pi

F 3*pi

Correct!

18. 50 - i said A

A 5*pi

B 4*pi

C 3*pi

D 9*pi

E 2*pi

F 7*pi

Correct!

19. 90 - i said D

A 8*pi

B 3*pi

C 1*pi

D 9*pi

E 7*pi

F 2*pi

Correct!

20. 120 - i said F

A 23*pi

B 74*pi

C 89*pi

D 24*pi

E 59*pi

F 12*pi

Correct!

That's excellent. You have certainly done well with these.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**demha****Member**- Registered: 2012-11-25
- Posts: 195

Ah, thank you once again Mr. Bob for spending your time to check these for me

Sent in the lesson and got 10.000.

"The thing about quotes on the Internet is you cannot confirm their validity"

~Abraham Lincoln

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