Home
Class 10
MATHS
In Fig. 10.57, a circle is inscribed ...

In Fig. 10.57, a circle is inscribed in a quadrilateral `A B C D` in which `/_B=90o` . If `A D=23 c m` , `A B=29 c m` and `D S=5c m` , find the radius `r` of the circle. (FIGURE)

Text Solution

Verified by Experts

The correct Answer is:
11 cm
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (Long Answer Questions 4 mark)|12 Videos

  • CIRCLES

    VK GLOBAL PUBLICATION|Exercise SELF - ASSESSMENT TEST|11 Videos

  • CIRCLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (Short Answer Questions - I 2 mark)|13 Videos

  • ARITHMETIC PROGRESSIONS

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|10 Videos

  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF-ASSESSMENT TEST|10 Videos

Similar Questions

Explore conceptually related problems

In a quadrilateral A B C D , given that /_A+/_D=90o . Prove that A C^2+B D^2=A D^2+B C^2 .

In quadrilateral A B C D show in Figure. A B D C a n d A D_|_A Bdot Also, A B=8m , D C=B C=5mdot Find the area of the quadrilateral.

A B and C D are two chords of a circle such that A B=6c m ,C D=12c m and A B C Ddot If the distance between A B and C D is 3c m , find the radius of the circle.

In Figure, /_A O B=90^0,\ A C=B C ,\ O A=12\ c m\ a n d\ O C=6. 5 c mdot Find the area of A O Bdot

In Fig. 15.99, a square O A B C is inscribed in a quadrant O P B Q of a circle. If O A=21\ c m , find the area of the shaded region. (FIGURE)

Calculate the area of the quadrilateral A B C D as shown in Fig.33, given that B D=42\ c m , A C=28\ c m , O D=12\ c m and A C_|_B D .

In Fig. 4.57, A E is the bisector of the exterior /_C A D meeting B C produced in E . If A B=10 c m , A C=6c m and B C=12 c m , find C E . (FIGURE)

A circle is inscribed in a A B C having side 8c m ,10 c ma n d12 c m as shown in Figure. Find A D ,B Ea n dC Fdot

In Figure, A B C D is a quadrilateral in which diagonal \ A C=84\ c m ; D L_|_A C ,\ B M_|_A C ,\ D L=16. 5\ c m and B M=12\ c m . Find the area of quadrilateral A B C Ddot

A plot is in the form of a rectangle A B C D having semi-circle on B C as shown in Fig. 15.64. If A B=60\ m and B C=28\ m , find the area of the plot. (FIGURE)

VK GLOBAL PUBLICATION-CIRCLES -PROFICIENCY EXERCISE (Short Answer Questions - II 3 mark)
  1. triangleABC is an isosceles triangle in which AB=AC, circumscribed abo...

    Text Solution

    |

  2. From a point P , two tangents P A and P B are drawn to a circ...

    Text Solution

    |

  3. If AB,AC,PQ are tangents in Fig. , PX = 2cm and AB = 5cm Find the per...

    Text Solution

    |

  4. A circle in inscribed in a Delta ABC having sides 8 cm , 10 cm and 12...

    Text Solution

    |

  5. P Q is a chord of length 8 cm of a circle of radius 5 cm. The tange...

    Text Solution

    |

  6. ABC is Right triangle, right angled at B such that BC = 6 and AB = 8 ...

    Text Solution

    |

  7. In figure, AB and CD are common tangents to two circles of unequal rad...

    Text Solution

    |

  8. In figure, common tangents AB and CD to two circles intersect at E. P...

    Text Solution

    |

  9. Two tangents PQ and PR are drawn from an external point to a circle wi...

    Text Solution

    |

  10. In Fig. 10.54, a circle touches all the four sides of a quadrilater...

    Text Solution

    |

  11. PQL and PRM are tangents to a circle with centre O at points Q and R r...

    Text Solution

    |

  12. A chord PQ of a circle is parallel to the tangent drawn at a point R ...

    Text Solution

    |

  13. If from an external point P of a circle with centre O, two tangents PQ...

    Text Solution

    |

  14. If Fig. 'O' is the centre of the circle Determine angleAQB and angleA...

    Text Solution

    |

  15. From a point P, two tangents PA and PB are drawn to a circle with cent...

    Text Solution

    |

  16. Find the actual length of sides of DeltaOTP (Fig)

    Text Solution

    |

  17. Find the perimeter of DeltaDEFG . (Fig.) .

    Text Solution

    |

  18. If d1,d2 (d2>d1) be the diameters of two concentric circles and c be t...

    Text Solution

    |

  19. In Fig. 10.57, a circle is inscribed in a quadrilateral A B C D in ...

    Text Solution

    |

  20. Let s denotes the semi-perimeter of a DeltaABC in which BC=a, CA=b and...

    Text Solution

    |