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)

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise All Questions|329 Videos

  • CONSTRUCTIONS

    RD SHARMA|Exercise All Questions|21 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)

RD SHARMA-CIRCLES-All Questions
  1. Prove that the perpendicular at the point of contact to the tangent...

    Text Solution

    |

  2. Two circles touch externally at a point P . From a point T on th...

    Text Solution

    |

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

    Text Solution

    |

  4. In Fig. 10.59, A B is a chord of length 16cm of a circle of radi...

    Text Solution

    |

  5. In Fig. 10.60, P A and P B are tangents from an external point P...

    Text Solution

    |

  6. In Fig. 10.61, B D C is a tangent to the given circle at point D...

    Text Solution

    |

  7. In Fig. 10.62, P O|Q O . The tangents to the circle at P and Q i...

    Text Solution

    |

  8. The lengths of three consecutive sides of a quadrilateral circumscr...

    Text Solution

    |

  9. In Fig. 10.67, O Q : P Q=3:4 and perimeter of P O Q=60 c m . De...

    Text Solution

    |

  10. In Fig. 10.72, P A and P B are tangents to the circle drawn from...

    Text Solution

    |

  11. What is the distance between two parallel tangents of a circle of r...

    Text Solution

    |

  12. The length of a tangent from a point A at distance 5 cm from the ce...

    Text Solution

    |

  13. Two tangents T P and T Q are drawn from an external point T to a...

    Text Solution

    |

  14. What is the distance between two parallel tangents to a circle of r...

    Text Solution

    |

  15. In Q. No. 1, if P B=10 c m , what is the perimeter of P C D ?

    Text Solution

    |

  16. In Fig. 10.74, C P and C Q are tangents to a circle with centre ...

    Text Solution

    |

  17. In Fig. 10.75, A B C is circumscribing a circle. Find the lengt...

    Text Solution

    |

  18. In Fig. 10.76, C P and C Q are tangents from an external point C...

    Text Solution

    |

  19. Two concentric circles are of radii 5 cm and 3 cm. Find the length ...

    Text Solution

    |

  20. In Fig. 10.77, P A and P B are tangents to the circle with centr...

    Text Solution

    |