Home
Class 12
MATHS
A circle is inscribed in an equilateral ...

A circle is inscribed in an equilateral triangle of side `adot` The area of any square inscribed in this circle is ______.

Text Solution

Verified by Experts

The correct Answer is:
`(a^(2))/( 6)` sq. unit
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE MAIN ( ARCHIVE )|29 Videos
  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

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

A circle is cirumscribed in an equilateral triangle of side 'l' . The area of any square inscribed in the circle is :

Construct a circle, inscribing an equilateral triangle with side 5.6 cm.

The circumference of a circle circumscribing an equilateral triangle is 24piu n i t sdot Find the area of the circle inscribed in the equilateral triangle.

(c) 103 (d) 10 18. A circle is inscribed in an equilateral triangle with side lengths 6 unit. Another circle is drawn inside the triangle (but outside the first circle), tangent to the first circle and two of the sides of the triangle. The radius of the smaller circle is (b) 2/3 (a) 1/ root3 (c) 2 (d) 1

A circle is inscribed in an equilateral triangle A B C of side 12 cm, touching its sides (Figure). Find the radius of the inscribed circle and the area of the shaded part.

A circle is inscribed in a square of area 784cm^(2) Find the area of the circle.

A circle is inscribed in a square of side 14 cm. Find the area enclosed between the square and the circle.

An equilateral triangle of side 9 cm is inscribed in a circle. Find the radius of the circle.

A square is inscribed in a circle with area 9z. What is the area of the square?

VMC MODULES ENGLISH-CIRCLES-JEE ADVANCED ( ARCHIVE )
  1. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  2. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  3. A circle is inscribed in an equilateral triangle of side adot The area...

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. Find the equation of circle touching the line 2x + 3y + 1=0 at the poi...

    Text Solution

    |

  6. Find the coordinates of the point at which the circles x^2+y^2-4x-2y+4...

    Text Solution

    |

  7. Two circles, each of radius 5 units, touch each other at (1, 2). If th...

    Text Solution

    |

  8. The centres of two circles C(1)andC(2) each of unit radius are at a di...

    Text Solution

    |

  9. The locus of the centres of circles which touches (y-1)^(2)+x^(2)=1 ex...

    Text Solution

    |

  10. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. The center(s) of the circle(s) passing through the points (0, 0) and ...

    Text Solution

    |

  13. Show that the equation of the circle passing through (1, 1) and the ...

    Text Solution

    |

  14. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. Eq...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. The points of intersection of the line 4x-3y-10=0 and the circle x^2+y...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. Consider a family of circle passing thorugh two fixed points A(3,7) an...

    Text Solution

    |