Home
Class 14
MATHS
If a circle touching all the n sides ...

If a circle touching all the `n` sides of a polygon of perimeter `2p` has radius `r` , then the area of the poly-gon is `(p-n)r` (b) `p r` (c) `(2p-n)r` (d) `(p+n)r`

Promotional Banner

Topper's Solved these Questions

  • ALLIGATION OR MIXTURE

    RS AGGARWAL|Exercise All Questions|31 Videos
  • AVERAGE

    RS AGGARWAL|Exercise All Questions|203 Videos

Similar Questions

Explore conceptually related problems

A circle of radius r is inscribed in a regular polygon with n sides (the circle touches all sides of the polygon). If the perimeter of the polygon is p, then the area of the polygon is

What is the relation between .^(n)P_(r) and .^(n)C_(r) ?

If S be the sum P the product and R be the sum of the reciprocals of n terms of a GP then p^(2) is equal to S/R b.R/S c.(R/S)^(n) d.(S/R)^(n)

The number of permutations of n different things taking r at a time when 3 particular things are to be included is ^(n-3)P_(r-3) b.n-3P_(r) c.^(n)P_(r-3) d.r!^(n-3)C_(r-3)

if S is the sum,P the product and R the sum of reciprocals of n terms in G.P. prove that P^(2)R^(n)=S^(n)

Let P (n) be the statement 2^(n) ge n . When P (r) is true, then is it true that P (r + 1) is also true ?

What is the value of sum_(r=1)^(n) (P(n, r))/(r!) ?

P Q R S is a trapezium having P S\ a n d\ Q R as parallel sides. A is any point on P Q\ a n d\ B is a point on S R such that A B Q R . If area of P B Q is 17\ c m^2, find the area of \ A S R

RS AGGARWAL-AREA-All Questions
  1. Each side of a regular hexagon is 1 cm. The area of the hexagon is ...

    Text Solution

    |

  2. The difference between the areas of the circumcircle and the incirc...

    Text Solution

    |

  3. If a circle touching all the n sides of a polygon of perimeter 2...

    Text Solution

    |

  4. Two equal circles are drawn in square in such a way that a side of ...

    Text Solution

    |

  5. If radius of a circle is 3c m , what is the area of the circle i...

    Text Solution

    |

  6. A plate on square base made of brass is of length x cm and width 1 mm....

    Text Solution

    |

  7. Area of a rectangle is 150 metre sq. When the breadth of the same r...

    Text Solution

    |

  8. The area of a circle whose radius is the diagonal of a square whose...

    Text Solution

    |

  9. The ratio of circumference and diameter of a circle is 22 : 7. If t...

    Text Solution

    |

  10. A rectangular carpet has area 120 m^2 and perimeter 46 metres. The len...

    Text Solution

    |

  11. The total surface area of a right circular cylinder with radius of ...

    Text Solution

    |

  12. The height of a triangle is equal to the perimeter of a square whos...

    Text Solution

    |

  13. A boundary wall around a rectangular plot is constructed at a total...

    Text Solution

    |

  14. Four circles having equal radii are drawn with centres at the four ...

    Text Solution

    |

  15. A courtyard is 25m long and 16m broad is to be paved with bricks of...

    Text Solution

    |

  16. The diameter of a circle is equal to the perimeter of a square whos...

    Text Solution

    |

  17. The base of triangle is 15 cm and height is 12 cm. The height of an...

    Text Solution

    |

  18. The base of an isosceles is 14 cm and its perimeter is 36 cm. Find ...

    Text Solution

    |

  19. What would be the area of a rectangle whose area is equal to the ar...

    Text Solution

    |

  20. If the total surface area of a cube is 864 square cm, find the volu...

    Text Solution

    |