Home
Class 12
MATHS
The area of the circle and the area of a...

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

A

`tan(pi/n):pi/n`

B

`cos(pi/n):pi/n`

C

`sin(pi/n):pi/n`

D

`cot(pi/n):pi/n`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|13 Videos

  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

The area of the circle and the area of a regular polygon of n sides and of perimeter equal to that of the circle are in the ratio of tan((pi)/(n)):(pi)/(n)(b)cos((pi)/(n)):(pi)/(n)sin(pi)/(n):(pi)/(n)(d)cot((pi)/(n)):(pi)/(n)

Perimeter and Area of a circle

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

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))

If the area of a circle and a square are equal, then the ratio of their perimeter is

If the perimeter and the area of a circle are numerically equal, then the diameter of the circle is

Find the radius of the circumscribing circle of a regular polygon of n sides each of length is a.

OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. The area of the triangle ABC,in which a=1,b=2angleC=60^(@) is

    Text Solution

    |

  2. In a triangle ABC,vertex angles A,B,C and side BC are given .The area ...

    Text Solution

    |

  3. The area of the circle and the area of a regular polygon of n sides an...

    Text Solution

    |

  4. If cotA/2=(b+c)/a ,then the DeltaABC,is

    Text Solution

    |

  5. In a DeltaABC ,tan(A/2)=5/6 ,tan(C/2)=2/5,then

    Text Solution

    |

  6. In a triangle ABC , the line joining the circumcentre and incentre is ...

    Text Solution

    |

  7. In a triangle ABC,r=

    Text Solution

    |

  8. The ex-radii of a triangle r(1),r(2),r(3) are the hamonic progression ...

    Text Solution

    |

  9. In any triangle A B C , prove that: a^3cos(B-C)+b^3cos(C-A)+c^3cos(A-B...

    Text Solution

    |

  10. If c^2 = a^2 + b^2, 2s = a + b + c, then 4s(s-a) (s - b)(s-c)

    Text Solution

    |

  11. The sides of a triangle are 13,14,15, then the radius of its in-circle...

    Text Solution

    |

  12. If a cos A=b cos B , then the triangle ,is

    Text Solution

    |

  13. The in-radius of the triangle whose sides are 3,5,6,is

    Text Solution

    |

  14. In an equilaterial triangle of side 2sqrt3 cms, the circum-radius ,is

    Text Solution

    |

  15. If the angles of a triangle are in the ratio 1:2:3,the corresponding s...

    Text Solution

    |

  16. In any !ABC , (Sigma)((sin^(2)A+sinA+1)/(sinA)) is always greater tha...

    Text Solution

    |

  17. In any !ABC , (Sigma)((sin^(2)A+sinA+1)/(sinA)) is always greater tha...

    Text Solution

    |

  18. In a right angled !ABC sin^(2)A+sin^(2)B+sin^(2)C=

    Text Solution

    |

  19. In any DeltaABC if 2 cosB=a/c ,then the triangle ,is

    Text Solution

    |

  20. If in a DeltaABC ,a sin A=b sin B, then the triangle, is

    Text Solution

    |