Home
Class 11
MATHS
The circumference of a circle circumscri...

The circumference of a circle circumscribing an equilateral triangle is `24pi units dot` Find the area of the circle inscribed in the equilateral triangle.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

A circle is inscribed in an equilateral triangle of side length a. The area of any square inscribed in the circle is

The circum radius of an equilateral triangle is 4cm. Find the inner radius of the triangle.

write the ratio of the angles of an equilateral triangle.

Let's write the ratio of the three angles of equilateral triangle.

The least area of a circle circumscribing any right triangle of area 9/pi is ___________

Draw the incircle of an equilateral triangle of side 7 cm.

Construct an equilateral triangle with side 7 cm.

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If the angles of a triangle are 30^0a n d45^0 and the included side is...

    Text Solution

    |

  2. The number of solutions of equation 6cos2theta+2cos^2(theta/2)+2sin^2t...

    Text Solution

    |

  3. The circumference of a circle circumscribing an equilateral triangle i...

    Text Solution

    |

  4. In A B C ,a , ca n dA are given and b1,b2 are two values of the third...

    Text Solution

    |

  5. Two circles of radii 4cm and 1cm touch each other externally and theta...

    Text Solution

    |

  6. Which of the following is not the general solution of 2^(cos2x)+1=3. 2...

    Text Solution

    |

  7. If area of ΔA B C(Δ) and angle C are given and if the side c opposite...

    Text Solution

    |

  8. Let P Q and R S be tangent at the extremities of the diameter P R of...

    Text Solution

    |

  9. The number of solutions of 12cos^3x-7cos^2x+4cosx=9 is (a) 0 (b) 2 (...

    Text Solution

    |

  10. If the sines of the angles A and B of a triangle ABC satisfy the equ...

    Text Solution

    |

  11. tan(/B A O)=3, then find the ratio B C : C Adot

    Text Solution

    |

  12. The sum of all the solutions of cottheta=sin2theta(theta!=npi, n inte...

    Text Solution

    |

  13. In triangle, A B Cif2a^2b^2+2b^2c^2=a^4+b^4+c^4, then angle B is equa...

    Text Solution

    |

  14. If angle C of triangle ABC is 90^0, then prove that tanA+tanB=(c^2)/(a...

    Text Solution

    |

  15. The system of equations tanx=acotx ,tan2x=bcosy (a)cannot have a so...

    Text Solution

    |

  16. The sides of A B C satisfy the equation 2a^2+4b^2+c^2=4a b+2ac Then a...

    Text Solution

    |

  17. By geometrical interpretation, prove that tan(alpha+beta)=(tanalph...

    Text Solution

    |

  18. The equation 2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2la...

    Text Solution

    |

  19. If sides of triangle A B C are a , ba n dc such that 2b=a+c then b/c >...

    Text Solution

    |

  20. By geometrical interpretation, prove that (i) sin(alpha+beta)=si...

    Text Solution

    |