Home
Class 14
MATHS
If the area of circumcirle of an equilat...

If the area of circumcirle of an equilateral triangle is `(25pi)/2 cm^(2)`, then find the radius of the incircle to the triangle.

A

`(2)/(sqrt(3))` cm

B

`(4)/(sqrt(3))` cm

C

`(5)/( 2 sqrt(3)) ` cm

D

`(5)/(sqrt(3))` cm

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    ARIHANT PUBLICATION PUNJAB|Exercise Chapter Exercise|83 Videos

  • MEASUREMENT SYSTEM

    ARIHANT PUBLICATION PUNJAB|Exercise CHAPTER EXERCISE|111 Videos

  • NUMBER SYSTEM

    ARIHANT PUBLICATION PUNJAB|Exercise Example |33 Videos

Similar Questions

Explore conceptually related problems

If the radius of the circumcircle of an equilateral triangle is 6 cm , then find the radius of its incircle.

If the radius of the circumcircle of an equilateral triangle is 5 cm then find the radius of its in circle.

If the radius of the circumcircle of an equilateral triangle is 8cm then the measure of radius of its incircle is:

The area of the circumcircle of an equilateral triangle is 3pi sq. cm. The perimeter of the triangle is

Area of the incircle of an equilateral triangle with side 6 cm is

The area of an equilateral triangle is (16 xx sqrt3) cm^(2) . Find the length of each side of the triangle.

The area of a circle inscribed in an equilateral triangle is 154cm^(2). Find the perimeter of the triangle.

The area of an equilateral triangle is 4sqrt(3)cm^(2). . Find the length of each side of the triangle

ARIHANT PUBLICATION PUNJAB-MENSURATION-Chapter Exercise
  1. If the area of circumcirle of an equilateral triangle is (25pi)/2 cm^(...

    Text Solution

    |

  2. The parallel sides of trapezium field are 12 m and 20 m . If distnace ...

    Text Solution

    |

  3. Length of diagonals of a rhombus field are 8 m and 14 m. Find its area

    Text Solution

    |

  4. If side of a square is doubled, howmany times its area will be increas...

    Text Solution

    |

  5. Area of rhombus is 256 cm^2. One of the diagonal is half of the other ...

    Text Solution

    |

  6. The length of a rope by which a buffalo must be tethered so that she m...

    Text Solution

    |

  7. The total cost of flooring a room at Rs. 12.50 per m is Rs. 400 . If ...

    Text Solution

    |

  8. The inner and outer radii of a circular track are respectively 21 m an...

    Text Solution

    |

  9. A brick measures 20 cm xx 10 cm xx 7.5 cm . How many bricks will be ...

    Text Solution

    |

  10. A school hall has the dimensions 30 m , 12 m by 6m . Find the number o...

    Text Solution

    |

  11. If the capacity of a cylindrical tank is 1848 m^3 and the diameter of ...

    Text Solution

    |

  12. How many metres of cloth 10 m wide will be required to make a conical ...

    Text Solution

    |

  13. The maxumum number of boxes , each of length 2 m , breadth 4 m and he...

    Text Solution

    |

  14. How many times a wheel of diameter 105 cm wil rotate to covering a dis...

    Text Solution

    |

  15. What will be the semi - perimeter of the following figure ?

    Text Solution

    |

  16. The volume of a cube is 512 cm^(3) . Find the length of its diagonal

    Text Solution

    |

  17. A rectangular grassy plot 160 m by 45 m has a gravel path 3 m wide all...

    Text Solution

    |

  18. If the length and breadth of a rectangle are increased by 10 % and 8 %...

    Text Solution

    |

  19. If the length of a rectangle is increased by 4% and breadth of the rec...

    Text Solution

    |

  20. If sides of a square are increased by 7% , by what percent its area wi...

    Text Solution

    |

  21. If diameter of a circle is decreased by 5% by what percent its area wi...

    Text Solution

    |