Home
Class 11
MATHS
Let A be the area of an n-sided regular ...

Let A be the area of an n-sided regular convex polygon of each side a, n being a positive integer.
Radius of the circumcircle of the polygon is

A

a cosec pi/n

B

a cosec (2pi)/n

C

`a/2 cosec pi/n`

D

`a/2 cosec (2pi)/n`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos
  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

Let A be the area of an n-sided regular convex polygon of each side a, n being a positive integer. The radius of the circle that can be inscribed in the polygon is

A nine-side regular polygon with side length 2, is inscribed in a circle. The radius of the circle is

The number of diagonals in a regular polygon of 100 sides is -

The limit of the interior angle of the regular polygon of n sides as nto oo is

I_(n) is the area of n sided refular polygon inscribed in a circle unit radius and O_(n) be the area of the polygon circumscribing the given circle, prove that I_(n)=O_(n)/2(1+sqrt(1-((2I_(n))/n)^(2)))

Let A be a point inside a regular polygon of 10 sides. Let p_(1), p_(2)...., p_(10) be the distances of A from the sides of the polygon. If each side is of length 2 units, then find the value of p_(1) + p_(2) + ...+ p_(10)

Prove that the area of a regular polygon hawing 2n sides, inscribed in a circle, is the geometric mean of the areas of the inscribed and circumscribed polygons of n sides.

The ratio of the area of a regular polygon of n sides inscribed in a circle to that of the polygon of same number of sides circumscribing the same is 3:4. Then the value of n is

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. alpha , beta and gamma are the angles gives by alpha = 2 tan^-1(sqrt2...

    Text Solution

    |

  2. x = npi - tan^-1 3 is a solution of the equation 12 tan 2x + sqrt10/co...

    Text Solution

    |

  3. Let A be the area of an n-sided regular convex polygon of each side a,...

    Text Solution

    |

  4. Let A be the area of an n-sided regular convex polygon of each side a,...

    Text Solution

    |

  5. Let x , y , z be non - zero real numbers lying in the interval [-1,1] ...

    Text Solution

    |

  6. Let x , y , z be non - zero real numbers lying in the interval [-1,1] ...

    Text Solution

    |

  7. Two balls are drawn at random with replacement from a box containing 1...

    Text Solution

    |

  8. Match Column-I with Column- II

    Text Solution

    |

  9. Distinguish between mitotic and meiotic cell divisions in animals on t...

    Text Solution

    |

  10. Determine the smallest positive value of n for which x =pi/n is a sol...

    Text Solution

    |

  11. Find the number of real solutions of the equation sqrt(1 + cos 2x) = s...

    Text Solution

    |

  12. Find the values of theta in the interval (-pi/2,pi/2) satisfying the e...

    Text Solution

    |

  13. Find the number of solution of the equation abs(sin x) = sin x + 3 if ...

    Text Solution

    |

  14. The number of solution of the equation tan^-1 sqrt(x(x+1)) + sin^-1sqr...

    Text Solution

    |

  15. Find the solution set of x satisfying the in equation cos x ge -1/2

    Text Solution

    |

  16. Solve for x, y and z : sin^2 x + cos^2 y = 2 sec^2 z

    Text Solution

    |

  17. Show that tan^-1((cosx)/(1 + sin x)) = pi/4 - x/2 , where x in (-pi/2 ...

    Text Solution

    |

  18. Determine all possible values of 'a' for which the equation cos^4 x - ...

    Text Solution

    |

  19. Find the coordinates of the points of intersection of the curves y = c...

    Text Solution

    |

  20. Solve : 3 tan^2 theta - 4sqrt3 tan theta + 3= 0 , find the acute angle

    Text Solution

    |