Home
Class 14
MATHS
Two circles of unit radii, are so drawn ...

Two circles of unit radii, are so drawn that the centre of each lies on the circuference of the other. The area of the region , common to both the circles, is :

A

`(4pi-3 sqrt3)/(12)`

B

`(4pi-6 sqrt3)/(12)`

C

`(4pi-3 sqrt3)/6`

D

`(4pi-6 sqrt3)/6`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos

  • NUMBER SYSTEM

    QUANTUM CAT|Exercise QUESTION BANK|1091 Videos

Similar Questions

Explore conceptually related problems

Suppose we have two circles of radius 2 each in the plane such that the distance between their centres is 2sqrt3. The area of the region common to both circles lies between

Two circles, each of radius r, with centres P and Q. are such that each circle passes through the centre of the other circle. Then the area common to the circles is less than one-third of the sum of the areas of the two circles by

Two circles with same radius r intersect each other and one passes through the centre of the other. Then the length of the common chord is

Two circles with same radius r intersect each other and one passes through the centre of the other. Then the length of the common chord is

Two circles of equal radii cut each other at P and Q, so that the centre of one lies on the other.A straight line through P cuts the circle again at A and B.Prove that Delta QAB is equilateral triangle.

it two circles, A, B of equal radii pass through the centres of each other, then what is the ratio of the length of the smaller arc to the circumference of the circle A but off by the circle

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10sqrt3 cm, then what is the diameter of the circle?

QUANTUM CAT-MENSURATION-QUESTION BANK
  1. If the side of a square is 24 cm, then the circumference of its circum...

    Text Solution

    |

  2. An isosceles right triangle has area 112.5 m^(2). The length of its h...

    Text Solution

    |

  3. Two circles of unit radii, are so drawn that the centre of each lies o...

    Text Solution

    |

  4. If the right circular cone is separated into three solids of volumes V...

    Text Solution

    |

  5. Water flows at the rate of 10 m per minute from a cylindrical pipe 5 ...

    Text Solution

    |

  6. The length of four sides and a diagonal of the given quadrilateral are...

    Text Solution

    |

  7. If a regular square pyramid has a base of side 4 cm and height of 30 c...

    Text Solution

    |

  8. A cylinder circumscribes a sphere . The ratio of their volumes is :

    Text Solution

    |

  9. In triangle ABC,BC=8 cm, AC=15 cm and AB=17 cm. The length of the alti...

    Text Solution

    |

  10. The area of the largest possible square inscribed in a circle of unit ...

    Text Solution

    |

  11. The area of the largest triangle that can be inscribed in a semicircle...

    Text Solution

    |

  12. If a regular hexagon is inscribed in a circle of radius r , then its p...

    Text Solution

    |

  13. If a regular hexagon circumscribes a circle of radius r , then its per...

    Text Solution

    |

  14. In the adjoining figure there are three semicircles in which BC=6 cm a...

    Text Solution

    |

  15. Area of a rhombus is 144 cm^(2) and the ratio of length of two diagon...

    Text Solution

    |

  16. Find the area of the shaded region in the given figure of square ABCD ...

    Text Solution

    |

  17. In the following figure AB=BC and AC=84 cm. The radius of the inscri...

    Text Solution

    |

  18. A tank 4m long and 2.5 m wide and 6 m deep is dug in a field 10 m long...

    Text Solution

    |

  19. An open box is made of wood 2 cm thick. Its internal length is 86 cm ...

    Text Solution

    |

  20. A rectangular tin sheet is 22 m long and 8 m broad. It is rolled alon...

    Text Solution

    |