Home
Class 14
MATHS
Three equal circles of unit radius touch...

Three equal circles of unit radius touch each other. Then, the area of the circle circumscribing the three circles is:

A

`6pi(2+sqrt(3))^(2)`

B

`(pi)/(6)(2+sqrt(3))^(2)`

C

`(pi)/(3)(2+sqrt(3))^(2)`

D

`3pi(2+sqrt(3))^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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

Three equal circles each of radius r touch one another.The radius of the circle touching all the three given circles internally is (2+sqrt(3))r(b)((2+sqrt(3)))/(sqrt(3))r((2-sqrt(3)))/(sqrt(3))r(d)(2-sqrt(3))r

Three equal circles of radius unity touches one another.Radius of the circle touching all the three circles is:

Three circles of equal radius 'a' cm touch each other. The area of the shaded region is :

If the four equal circles of radius 3 cm touch each other externally, then the area of the region bounded by the four circles is

Three circles of equal radius 'a' cm touch each other. The area of of the shaded region is :

The two circles touch each other if

Three circles of radius a, b, c touch each other externally. The area of the triangle formed by joining their centre is

Two circles of unit radius touch each other and each of them touches internally touches a circle of radius two.Then the radius of the circle which touches all the three circles is:

KIRAN PUBLICATION-MENSURATION-TYPE -II
  1. If two medians BE nd CF of a triangle ABC, intersect each other at G a...

    Text Solution

    |

  2. A room 16 m 5 cm long and 15m borad is to be fitted with equal square...

    Text Solution

    |

  3. Three equal circles of unit radius touch each other. Then, the area of...

    Text Solution

    |

  4. Area of the circle inscribed in a square of diagonal 6sqrt(2) cm.(in s...

    Text Solution

    |

  5. The length of a side of an equilateral triangle is 8 cm. The area of t...

    Text Solution

    |

  6. In Delta ABC and Delta PQR, angleB = angle Q, angleC = angle R. M is t...

    Text Solution

    |

  7. The diagonals of two squares are in the ratio of 3:7. What is the rati...

    Text Solution

    |

  8. A string of length 24 cm is bent first into a square and then into a r...

    Text Solution

    |

  9. ABCD is a square. Draw an equilateral triangle PBC on side BC consider...

    Text Solution

    |

  10. If D, E and F are the mid-points of the sides of an equilateral triang...

    Text Solution

    |

  11. The area of a rectangle is 60 cm^(2) and its perimeter is 34 cm, then ...

    Text Solution

    |

  12. The centroid of a triangle Delta ABC is G. If the area of DeltaABC = 7...

    Text Solution

    |

  13. In a trapezium ABCD, AB || CD, AB lt CD, CD = 6 cm and distance betwee...

    Text Solution

    |

  14. In a triangle ABC, AB = 8 cm, AC = 10 cm and angleB = 90^(@), then the...

    Text Solution

    |

  15. In figure, DE || BC. IF DE = 3 cm, BC = 6 cm and area of Delta ADE = 1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |