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A spiral is made up of successive semici...

A spiral 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 consec

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The correct Answer is:
143 cm
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OSWAL PUBLICATION-ARITHMETIC PROGRESSIONS -NCERT CORNER (EXERCISE-5.3)
  1. In an A. P. : given a = 3, n = 8, S = 192, find d.

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  2. In an A. P. : given l = 28, S = 144, and there are total 9 terms Fin...

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  3. How many terms of the AP: 9, 17, 25, . . . must be taken to give a sum...

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  4. The first term of an A.P. is 5, the last term is 45 and the sum is 400...

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  5. The first and the last terms of an A.P. are 17 and 350 respectively. I...

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  6. Find the sum of first 22 terms of an A.P. in which d = 7 and 22 nd ter...

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  7. Find the sum of first 51 terms of an A.P. whose second and third terms...

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  8. If the sum of first 7 terms of an A.P. is 49 and that of 17 terms is 2...

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  9. Show that a (1), a (2), …., a (n),… from an A.P. where a (n) is define...

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  10. Show that a (1), a (2), …., a (n),… from an A.P. where a (n) is define...

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  11. If the sum of the first n terms of an A.P. is 4n - n ^(2), what is the...

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  12. The sum of first 40 positive integers divisible by 6 is

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  13. Find the sum of the first 15 multiples of 8.

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  14. Find the sum of the odd numbers between 0 and 50.

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  15. A contract on construction job specifies a penalty for delay of com...

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  16. A sum of Rs 700 is to be used to give seven cash prizes to students...

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  17. In a school, students thought of planting trees in and around the scho...

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  18. A spiral is made up of successive semicircles, with centres alternate...

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  19. 200 logs are stacked in the following manner: 20 logs in the bottom ...

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  20. In a potato race, a bucket is placed at the starting point, which is ...

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