Home
Class 12
MATHS
Concentric circles of radii 1,2,3,. . . ...

Concentric circles of radii `1,2,3,. . . . ,100 c m` are drawn. The interior of the smallest circle is colored red and the angular regions are colored alternately green and red, so that no two adjacent regions are of the same color. Then, the total area of the green regions in sq. cm is equal to `1000pi` b. `5050pi` c. `4950pi` d. `5151pi`

A

`1000 pi`

B

` 5050pi`

C

`4950pi`

D

`5151pi`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|19 Videos

  • SEQUENCE AND SERIES

    VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|17 Videos

  • QUADRATIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|43 Videos

  • SOLUTION OF TRIANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

In Figure, there are shown sectors of two concentric circles of radii 7cm and 3.5cm. Find the area of the shaded region. (pi=(22)/7)

In Fig. an equilateral triangle A B C of side 6 cm has been inscribed in a circle. Find the area of the shaded region. (Take pi=3. 14 )

A circle is inscribed in a square of side 14 m. The ratio of the area of the circle and that of the square is (a) pi:3\ (b) pi:4 (c) pi:2 (d) pi:1

Two medians drawn from the acute angles of a right angled triangle intersect at an angle pi/6dot If the length of the hypotenuse of the triangle is 3u n i t s , then the area of the triangle (in sq. units) is sqrt(3) (b) 3 (c) sqrt(2) (d) 9

The area of a square is equal to the area of a circle. The ratio between the side of the square and the radius of the circle is (a) sqrt(pi):1 (b) 1:sqrt(pi) (c) 1:pi (d) pi:1

A B and C D are respectively arcs of two concentric circles of radii 21 cm and 7 cm and centre O . If /_A O B=30^@ , find the area of the shaded region.

In Fig. 12.25, ABCD is a square of side 14 cm. With centres A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region.

Let ABC be a triangle and a circle C_1 drawn lying inside the triangle touching its incircle C_2 externally and also touching its two sides AB and AC. Show that the ratio of radii of the circles C_1 and C_2 is equal to tan^2((pi-A)/4)

The area of an equilateral triangle is 1732. 05\ c m^2 . About each angular point as centre, a circle is described with radius equal to half the length of the side of the triangle. Find the area of the triangle not included in the circles. (U s e\ \ pi=3. 14) .

The area of an equilateral triangle ABC is 17320. 5\ c m^2 . With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (see Fig. 12.28). Find the area of the shaded region. ( Use π = 3.14 and sqrt3 = 1.73205)

VK JAISWAL ENGLISH-SEQUENCE AND SERIES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. Concentric circles of radii 1,2,3,. . . . ,100 c m are drawn. The inte...

    Text Solution

    |

  2. Let a,b,c,d be four distinct real number in A.P.Then the smallest posi...

    Text Solution

    |

  3. The sum of all digits of n for which sum (r =1) ^(n ) r 2 ^(r ) = 2+2^...

    Text Solution

    |

  4. If lim ( x to oo) (r +2)/(2 ^(r+1) r (r+1))=1/k, then k =

    Text Solution

    |

  5. The value of sum (r =1) ^(oo) (8r)/(4r ^(4) +1) is equal to :

    Text Solution

    |

  6. Three distinct non-zero real numbers form an A.P. and the squares of t...

    Text Solution

    |

  7. which term of an AP is zero -48,-46,-44.......?

    Text Solution

    |

  8. In an increasing sequence of four positive integers, the first 3 terms...

    Text Solution

    |

  9. The limit of (1)/(n ^(4)) sum (k =1) ^(n) k (k +2) (k +4) as n to oo i...

    Text Solution

    |

  10. Which is the last digit of 1+2+3+……+ n if the last digit of 1 ^(3) + ...

    Text Solution

    |

  11. There distinct positive numbers, a,b,c are in G.P. while log (c) a, lo...

    Text Solution

    |

  12. The numbers 1/3, 1/3 log (x) y, 1/3 log (y) z, 1/7 log (x) x are in H...

    Text Solution

    |

  13. If sum ( k =1) ^(oo) (k^(2))/(3 ^(k))=p/q, where p and q are relativel...

    Text Solution

    |

  14. The sum of the terms of an infinitely decreassing Geometric Progressio...

    Text Solution

    |

  15. A cricketer has to score 4500 runs. Let a (n) denotes the number of ru...

    Text Solution

    |

  16. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

    Text Solution

    |

  17. Let f (n)=(4n + sqrt(4n ^(2) -1))/( sqrt(2n +1 )+sqrt(2n-1)),n in N th...

    Text Solution

    |

  18. Find the sum of series 1+1/2+1/3+1/4+1/6+1/8+1/9+1/12+…… oo, where the...

    Text Solution

    |

  19. Let a (1), a(2), a(3),…….., a(n) be real numbers in arithmatic progres...

    Text Solution

    |

  20. Let the roots of the equation 24 x ^(3) -14x ^(2) + kx +3=0 form a geo...

    Text Solution

    |

  21. How many ordered pair (s) satisfy log (x ^(3) + (1)/(3) y ^(3) + (1)/(...

    Text Solution

    |