Home
Class 12
MATHS
If the area of circle is A(1) and area o...

If the area of circle is `A_(1)` and area of regular pentagon inscibed in the circle is `A_(2),` then find the ratio of area of two.

Text Solution

Verified by Experts

The correct Answer is:
`(A_(1))/(A_(2))=(pir^(2))/(5/2r ^(2)cos 18^(@))=(2pi)/(5)sec ((pi)/(10))`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 1|20 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 2|19 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

If the area of the circle is A_(1) and the area of the regular pentagon inscribed in the circle is A_(2), then find the ratio (A_(1))/(A_(2)) .

Find the area of regular polygon ? If the area of the circle is A_(1) and area of a regular pentagon inscribed in the circle is A_(2); then find the ratio (A_(1))/(A_(2))

H_(1) is a regular hexagon circumscribing a circle. H_(2) is a regular hexagon inscribed in the circle. Find the ratio of areas of H_(1) and H_(2) .

The area of the circle and the area of a regular polygon of n sides and the perimeter equal to the circle are in the ratio of

if a regular hexagon and regular octagon are inscribed in a circle of radius R then the ratio of areas A_(1), and A_(2), is

Regular pentagons are inscribed in two circles of radius 5 and 2 units respectively.The ratio of their areas is

Regular pentagons are inscribed in two circles of radius 5 and 2 units respectively.The ratio of their areas is

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. If the area of circle is A(1) and area of regular pentagon inscibed in...

    Text Solution

    |

  2. In a triangle XYZ, let x, y, z be the lengths of sides opposite to the...

    Text Solution

    |

  3. In a triangle the sum of two sides is x and the product of the same is...

    Text Solution

    |

  4. Consider a triangle A B C and let a , ba n dc denote the lengths of th...

    Text Solution

    |

  5. In a triangle PQR, P is the largest angle and cosP=1/3. Further the in...

    Text Solution

    |

  6. Let PQR be a triangle of area Delta with a = 2, b = 7/2 and c =5/2, wh...

    Text Solution

    |

  7. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  8. Let A B C be a triangle such that /A C B=pi/6 and let a , ba n dc deno...

    Text Solution

    |

  9. a triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  10. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

    Text Solution

    |

  11. A straight line through the vertex P of a triangle PQR intersects the ...

    Text Solution

    |

  12. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  13. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  14. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  15. Internal bisector of /A of triangle ABC meets side BC at D. A line dra...

    Text Solution

    |

  16. Given an isosceles triangle, whose one angle is-2pi/3 and the radius o...

    Text Solution

    |

  17. In Delta ABC, which one is true among the following ?

    Text Solution

    |

  18. Let a vertical tower A b have its end A on the level ground. Let C be ...

    Text Solution

    |

  19. ABCD is a trapezium such that AB and CD are parallel and BC | CD. If ...

    Text Solution

    |

  20. For a regular polygon, let r and R be the radii of the inscribed and ...

    Text Solution

    |

  21. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

    Text Solution

    |