Home
Class 14
MATHS
ABCD is a trapezium. An inner circle tou...

ABCD is a trapezium. An inner circle touches its all sides. Radius of circle is 2 cm and AB = 3 cm. BCD is right angle and AB||CD. Find the area of trapezium.

A

24 cm

B

`48sqrt(2)cm`

C

`32sqrt(2)cm`

D

18 cm

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DATA INTERPRETATION

    MOTHERS|Exercise MULTIPLE CHOICE QUESTIONS|372 Videos
  • LCM & HCF

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION|200 Videos

Similar Questions

Explore conceptually related problems

The given figure shows a trapezium ABCD in which AB = 17 cm, BC = 8 cm and CD = 15 cm. Find the area of the trapezium.

ABCD is a trapezium in which AB || DC, AB?78 cm, CD = 52 cm. AD = 28 cm and BC =30cm . Find the area of the trapezium.

If circle touches all the sides of a quadrilateral ABCD, if AB = 7 cm, CD = 3 cm, BC = 8.5 cm. Find the length of AD.

In a trapezium ABCD, AB and DC are parallel sides and angle ADC = 90^@ ,if AB = 15 cm, CD = 40 cm and diagonal AC = 41 cm. Then the area of the trapezium ABCD is एक समलंब में AB और DC समांतर किनारे है और angle ADC = 90^@ है । यदि AB = 15 से.मी., CD = 40 से.मी. और विकर्ण AC = 41 से.मी. है, तो उस समलंब ABCD का क्षेत्रफल बताइए ।

In a trapezium ABCD, AB and DC are parallel sides and angleADC = 90^(@) . If AB = 15 cm, CD = 40 cm and diagonal AC = 41 cm. Then the area of the trape- zium ABCD is:

The parallel sides of a trapezium are 24 cm and 20 cm. The distance between them is 7 cm. Find the radius of a circle whose are is equal to the area of the trapezium.

In Figure 3, a circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6cm,BC=9cm and CD=8cm. Find the length of side AD.

In the given figure, ABCD is a trapezium with AB||CD nad /_BCD=60^(@) .If BFEC is a sector of a circle with centre C and AB=BC=7 cm and DE=4cm , then find the area of the shaded region. [Use pi=22//7 and sqrt(3)=1.73 ]

In a trapezium ABCD, O is the point of intesection of AC and BD, AB||CD and AB = 2xx CD . If the area of triangleAOB= 84cm^(2) . Find the area of triangleCOD .

MOTHERS-GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. Two circles are tangent internally at P and a chord, AB of the larger ...

    Text Solution

    |

  2. In equilateral DeltaABC. D is chosen on AC so that AD=(1)/(3)AC, and E...

    Text Solution

    |

  3. ABCD is a trapezium. An inner circle touches its all sides. Radius of ...

    Text Solution

    |

  4. DeltaABC is an equilateral triangle and OB, OD and OC are angle bisect...

    Text Solution

    |

  5. In DeltaABC, D is the midpoint of side BC, E is mid point of AD, F is ...

    Text Solution

    |

  6. Diagonals AC and BD of quadrilateral ABCD meet at E. If AE = 2 cm, BE ...

    Text Solution

    |

  7. Two circles intersect each other at the points A and B, A straight lin...

    Text Solution

    |

  8. An isosceles triangle has a base of measure 4 cm and sides measuring 3...

    Text Solution

    |

  9. A circles O is tangent to the hypotenuse BC of isosceles right DeltaAB...

    Text Solution

    |

  10. Two circles with centres O(1) and O(2) touch each other externally at ...

    Text Solution

    |

  11. In given figure, a rectangle ABCD is inside a circle. Side AB is great...

    Text Solution

    |

  12. ABCD is a square of area = 144(4+2sqrt(3)) centres O(1)&O(2) of circle...

    Text Solution

    |

  13. If the measure of an acute triangle sides is 24, 10 and N. What is pos...

    Text Solution

    |

  14. If DeltaABC is an isosles triangle. Where AB = AC = 1 and D is a point...

    Text Solution

    |

  15. In the given figure ABC is a triangle. D is mid point of AB. Q is a po...

    Text Solution

    |

  16. The figure shows an equilateral DeltaABC with a line L passing through...

    Text Solution

    |

  17. In the given figure PQ and PR are tangents of a semicircle. Center O o...

    Text Solution

    |

  18. In the figure below, two circular curves create 60^(@) and 90^(@) with...

    Text Solution

    |

  19. In the given figure, ABC is a right triangle inscribed in a circle of ...

    Text Solution

    |

  20. It is given that in triangle ABC, M is midpoint of AC, circle of cent...

    Text Solution

    |