Home
Class 11
MATHS
Statement I perimeter of a regular penta...

Statement I perimeter of a regular pentagon inscribed in a circle with centre O and radius a cm equals `10a sin 36^(@)` cm.
Statement II Perimeter of a regular polygon inscribed in a circle with centre O and radius a cm equals `(3n-5)sin ((360^(@))/(2n))cm,` then it is n sided, where `n ge3.`

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ALLEN|Exercise All Questions|1 Videos
  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Do yourself -6|4 Videos

Similar Questions

Explore conceptually related problems

Construct a circle with centre O and radius 4 cm.

Find the perimeter of a regular pentagon with each side measuring 3 cm.

Mark a point on a page of your notebook as 0. Draw a circle with O as centre and radius 3 cm

Given a circle with centre O and radius 2.5 cm, what is the length of the longest chord of the circle

In a circle with centre O and radius 5cm, AB is a chord of length 5sqrt(3)c m . Find the area of sector A O Bdot

A B is a chord of a circle with centre O and radius 4 cm. A B is of length 4 cm. Find the area of sector of the circle formed by chord A B .

Show that the rectangle of maximum perimeter which can be inscribed in a circle of radius 10 cm is a square of side 10sqrt(2) cm.

Draw a semi-circle with centre O and radius 5 cm. Is the diameter that determines the semi-circle, a part of the semi-circle?

A B is a chord of a circle with centre O and radius 4 cm. A B is of length 4 cm and divides the circle into two segments. Find the area of the minor segment.

If r is the radius of inscribed circle of a regular polygon of n-sides ,then r is equal to

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. Find the value of a if the value of 2x^2+3x-a is equal to 6 when x=-2.

    Text Solution

    |

  2. Statement - I : If two sides of a triangle are 4 and 5, then its ar...

    Text Solution

    |

  3. Statement I perimeter of a regular pentagon inscribed in a circle with...

    Text Solution

    |

  4. Statement - I : The statement that circumradius and inradius of a t...

    Text Solution

    |

  5. Statement - I : In any triangle A B C , the minimum values of (r1+r2+r...

    Text Solution

    |

  6. Statement - I : Area of triangle having sides greater than 9 can be ...

    Text Solution

    |

  7. Let An be the area that is outside a n-sided regular polygon and insid...

    Text Solution

    |

  8. If n=4\ then Bn is equal to : R^2((4-pi))/2 (b) (R^2(4-pisqrt(2)))/2 ...

    Text Solution

    |

  9. (An)/(Bn) is equal to (theta=pi/n) (2theta-sin2theta)/(sin2theta-thet...

    Text Solution

    |

  10. Prove that : 4\ R\ sin AsinB\ sin C=acosA+b\ cos B+c cosCdot

    Text Solution

    |

  11. Prove that : acosB\ cos C+bcosCcosA+c\ cos AcosB=/R

    Text Solution

    |

  12. If p1, p2, p3, be the altitudes of a triangle ABC from the vertices A,...

    Text Solution

    |

  13. Prove that : (a b c)/scosA/2cosB/2cosC/2=

    Text Solution

    |

  14. In a DeltaABC, if B=3C, prove that (i) cosC=sqrt(((b+c)/(4c)))" (i...

    Text Solution

    |

  15. A B C is a triangle. D is the mid point of B Cdot If A D is perpendicu...

    Text Solution

    |

  16. Let 1 lt m lt 3. ln a Delta ABC, if 2b= (m+1) a and cos A=1/2 sqrt(((m...

    Text Solution

    |

  17. Prove that : 1/(r1)+1/(r2)+1/(r3)=1/r

    Text Solution

    |

  18. Prove that r1+r2+r3-r=4R

    Text Solution

    |

  19. If r(1), r(2) ,r(3) are the ex-radii of DeltaABC, then prove that (b...

    Text Solution

    |

  20. Consider a D E F , the pedal triangle of the A B C such that A-F-B\ ...

    Text Solution

    |