Home
Class 14
MATHS
Two equal circles intersect so that thei...

Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is:

A

`(pi)/(4)`

B

`(pi)/(2)-1`

C

`(pi)/(5)`

D

`(sqrt(2)-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    KIRAN PUBLICATION|Exercise TYPE - III|21 Videos

  • MENSURATION

    KIRAN PUBLICATION|Exercise TYPE - IV|169 Videos

  • MENSURATION

    KIRAN PUBLICATION|Exercise Test Yourself|28 Videos

  • LCM AND HCF

    KIRAN PUBLICATION|Exercise Test Yourself |18 Videos

  • MISCELLANEOUS

    KIRAN PUBLICATION|Exercise TYPE-VI|15 Videos

Similar Questions

Explore conceptually related problems

Two identical circles intersect so that their centers,and the points,at which they intersect,form a square ofside 1cm. The area in sq cm of the portion that is common to the two circles is

Two identical circles intersect so that their centres and the poits at which they intersect form a square of side 2 cm. What is the area (in cm^(2) ) of the portion that is common to the two circles ?

The area of the circle whose circumference is equal to the perimeter of a square of side 11 cm is

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?

Circles of radii 3 and 4 intersect orthogonally The area common to the two circles is

If two circles intersect at two points,prove that their centres lie on the perpendicular bisector of the common chord.

The side of a square is 18 cm. which is 7.5 cm. more than radius of a circle. What is the area of the circle?

KIRAN PUBLICATION-MENSURATION-TYPE -II
  1. In figure, DE || BC. IF DE = 3 cm, BC = 6 cm and area of Delta ADE = 1...

    Text Solution

    |

  2. Delta ABC is a right angled triangle, the radius of its circumcircle i...

    Text Solution

    |

  3. Two equal circles intersect so that their centres, and the points at w...

    Text Solution

    |

  4. Two adjacent sides of a parallelogram are 21 cms and 20 cms. The diago...

    Text Solution

    |

  5. Delta ABC is an equilateral triangle and D and E are midpoints of AB a...

    Text Solution

    |

  6. The perimeters of a square and a rectangle are equal. If their area be...

    Text Solution

    |

  7. A rectangle with one side of length 4 cm. is inscribed in a circle of ...

    Text Solution

    |

  8. If O is the centroid and AD, BE and CF are the three medians of Delta ...

    Text Solution

    |

  9. Delta ABC is similar to Delta DEF. If the ratio of similar sides is k ...

    Text Solution

    |

  10. The height of an equilateral triangle is 18 cm. Its area is ?

    Text Solution

    |

  11. The length and breadth of a rectangular piece of a land are in a ratio...

    Text Solution

    |

  12. The ratio between the area of a square and that of a circle, when the ...

    Text Solution

    |

  13. A piece of wire 132 cm long is bent successively in the shape of an eq...

    Text Solution

    |

  14. Let triangle ABC and triangle ABD be on the same base AB and between t...

    Text Solution

    |

  15. The perimeter of a rhombus is 240 metre and the distance between any t...

    Text Solution

    |

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

    Text Solution

    |

  17. Points P and Q lie on the sides AB and AC of triangle ABC respectivey ...

    Text Solution

    |

  18. Delta ABC is similar to Delta PQR. Length of AB is 16 cm and length of...

    Text Solution

    |

  19. The circumference of a circle is equal to the perimeter of a square. I...

    Text Solution

    |

  20. If the length of the side of an equilateral triangle is 6 cm, what is ...

    Text Solution

    |