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A sprial is made up of successive semici...

A sprial is made up of successive semicircles, with centres alternately at A and B, starting with centre at A, of radii 0.5 cm, 1.0 cm, 1.5 cm , 2.0 cm, ….. As shown in figure. What is the total length of such a spiral made up of thirteen consecutive semicircles? (Take `pi = 22/7`)
[Hint : Length of successive semicircles is `l_(1), l_(2), l_(3), l_(4),`...... with centres at A, B,A,B, ....., respectively.]

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VGS PUBLICATION-BRILLIANT-PROGRESSIONS-EXERCISE
  1. A sum of Rs. 700 is to be used to give seven cash prizes to students ...

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  2. In a school, students thought of planting trees in an around the schoo...

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  3. A sprial is made up of successive semicircles, with centres alternatel...

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  4. 200 logs are stacked in the following manner : 20 logs in the bottom r...

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  5. In a bucket and ball race, a bucket is placed at the starting point. W...

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  6. A runner starts from the bucket, picks up the nearest ball, runs back ...

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  7. Find which of the following are not G.P. (i) 6,12, 24, 48, ......

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  8. Find which of the following are not G.P. (ii) 1,4,9,16,.....

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  9. Find which of the following are not G.P. (iii) 1, -1, 1, -1,......

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  10. Find which of the following are not G.P. (iv) -4, -20, -100, -500,....

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  11. Explain why each of the lists above is a G.P. (i) 1, 4, 16, 64, 256,...

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  12. Explain why each of the lists above is a G.P. (ii) 550, 605, 665.5, ...

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  13. Explain why each of the lists above is a G.P. (iii) 256, 128, 64,32,...

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  14. Explain why each of the lists above is a G.P. (iv) 18, 16.2, 14.58, ...

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  15. To know about a G.P. What is minimum information that we need?

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  16. Write the G.P. If the first term a=3, and the common ratio r= 2.

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  17. Write G.P. If a = 256, r = (-1)/2.

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  18. Find the common ratio of the G.P. 25, -5, 1, (-1)/5.

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  19. Which of the following list of number form G.P. ? (i) 3, 6, 12, .......

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  20. Which of the following list of number form G.P. ? (ii) 64, -32, 16, ...

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