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 ______.

A

`(a^(2))/( 3)`

B

` (a^(2))/( 4)`

C

`(a^(2))/( 6)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VMC MODULES ENGLISH|Exercise LEVEL-2|50 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 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-LEVEL-1
  1. The equation of the circle inscribed in the triangle formed by the coo...

    Text Solution

    |

  2. The equation of a circle with origin as centre and passing through t...

    Text Solution

    |

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

    Text Solution

    |

  4. Using integration, find the area of the triangle formed by negative x-...

    Text Solution

    |

  5. The sides of a square are x =4, x = 7, y =1 and y = 4 . The equation...

    Text Solution

    |

  6. The coordinates of the points on the circles x^(2) +y^(2) =9 which are...

    Text Solution

    |

  7. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

    Text Solution

    |

  8. The equation of the circle which has a tangent 2x-y-1=0 at (3, 5) on i...

    Text Solution

    |

  9. If the tangent from a point p to the circle x^2+y^2=1 is perpendicula...

    Text Solution

    |

  10. If the circle x^(2)+y^(2)+4x+22y+c=0 bisects the circumference of the ...

    Text Solution

    |

  11. Find the equation of the circle passing through the points of intersec...

    Text Solution

    |

  12. The equation of the tangent to the circle x^2+y^2=a^2, which makes a t...

    Text Solution

    |

  13. The locus of the mid-points of the chords of the circle x^2+ y^2-2x-4...

    Text Solution

    |

  14. Find the equation of a circle with center (4, 3) touching the circle x...

    Text Solution

    |

  15. Find the equation of the circle whose radius is 3 and which touches ...

    Text Solution

    |

  16. Let f(x,y)=0 be the equation of a circle. If f(0,lamda)=0 has equal ro...

    Text Solution

    |

  17. Find the equation of the circle passing through the point of intersect...

    Text Solution

    |

  18. Find the equation of the circle passing through the intersection of th...

    Text Solution

    |

  19. The angle subtended by the chord x +y=1 at the centre of the circle x^...

    Text Solution

    |

  20. The locus of the centre of the circles which touches both the axes is ...

    Text Solution

    |