Home
Class 11
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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 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)

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. The terms a1,a2,a3 form an arithmetic sequence whose sum is 18.The ter...

    Text Solution

    |

  2. Let f(x)=2x+1. Then the number of real number of real values of x for ...

    Text Solution

    |

  3. Concentric circles of radii 1,2,3,. . . . ,100 c m are drawn. The inte...

    Text Solution

    |

  4. Let {tn} be a sequence of integers in G.P. in which t4: t6=1:4 and t2+...

    Text Solution

    |

  5. If x ,2y ,3z are in A.P., where the distinct numbers x ,y ,z are in G....

    Text Solution

    |

  6. If Sp denotes the sum of the series 1+r^p+r^(2p)+ toooa n dsp the sum ...

    Text Solution

    |

  7. If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx ,...

    Text Solution

    |

  8. If a1, a2, ,an are in H.P., then (a1)/(a2+a3++an),(a2)/(a1+a3++an), ...

    Text Solution

    |

  9. If H1, H2, ,H(20) are 20 harmonic means between 2 and 3, then (H1+2)/...

    Text Solution

    |

  10. A pack contains n cards numbered from 1 to n. Two consecutive numbered...

    Text Solution

    |

  11. Let an=16 ,4,1, be a geometric sequence. Define Pn as the product o...

    Text Solution

    |

  12. If he equation x^3+a x^2+b x+216=0 has three real roots in G.P., then ...

    Text Solution

    |

  13. Let Tr be the rth term of an A.P., for r=1,2,3,..... If for some pos...

    Text Solution

    |

  14. If an=3/4-(3/4)^2+(3/4)^3+...(-1)^(n-1)(3/4)^n and bn=1-an, then find ...

    Text Solution

    |

  15. For a positive integer n let a(n)=1+1/2+1/3+1/4+.....+1/((2^n)-1)dot T...

    Text Solution

    |

  16. If x >1,y >1,a n dz >1 are in G.P., then 1/(1+lnx),1/(1+l ny)a n d1/(1...

    Text Solution

    |

  17. .Let a1, a2,............ be positive real numbers in geometric progr...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. If a ,b ,c are in A.P. and a^2, b^2, c^2 are in H.P., then prove tha...

    Text Solution

    |

  20. Let a ,b be positive real numbers. If a, A1, A2, b be are in arithmeti...

    Text Solution

    |