Home
Class 9
MATHS
A chord of a circle is equal to the radi...

A chord of a circle is equal to the radius of the circle find the angle subtended by the chord at a point on the monor arc and also at a point on the major arc.

Text Solution

Verified by Experts

The chord AB is equal to the radius of the circle.
OA and OB are the two radii of the circle
In `triangleOAB`
AB=OA=OB (radius of the circle)
Here, `triangleOAB` is an equilateral triangle.
`AOC=60^*`
`ACB=1/2xx60^*=30^*`
Now, ABCD is a cyclic quadrilateral.
...
Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA|Exercise All Questions|205 Videos
  • CONGRUENT TRIANGLE

    RD SHARMA|Exercise All Questions|291 Videos

Similar Questions

Explore conceptually related problems

A chord of a circle is equal to the radius of the circle.Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc

A chord of a circle is equal to the radius of the circle.Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.

If the chord of a circle is equal to the radius of the circle,then the angle subtended by the chord at a point on the minor arc is:

A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is

Consider the following statements : 1. If non-parallel sides of a trapezium are equal, then it is cyclic. 2. If the chord of a circle is equal to its radius, then the angle subtended by this chord at a point in major segment is 30^@ . Which of the above statements is/are correct?

If the length of a chord of a circle is equal to that of the radius of the circle , then the angle subtended , in radians , at the centre of the circle by the chord is

RD SHARMA-CIRCLE -All Questions
  1. A , B and C are three points on a circle such that the angles subten...

    Text Solution

    |

  2. In Figure., A B C is a triangle in which /B A C=30^0dot Show that B C ...

    Text Solution

    |

  3. A chord of a circle is equal to the radius of the circle find the angl...

    Text Solution

    |

  4. In Figure, /A B C=69^0,\ /A C B=31^0 , find /B D C

    Text Solution

    |

  5. In Figure, /P Q R=100^0, where P ,\ Q\ a n d\ R are points on a circle...

    Text Solution

    |

  6. In Fig. 10.39, A, B, C and D are four points on a circle. AC and BD...

    Text Solution

    |

  7. BC is a chord with centre O. A is a point on an arc BC . Pr...

    Text Solution

    |

  8. BC is a chord with centre O. A is a point on an arc BC . Pr...

    Text Solution

    |

  9. Prove that the circle drawn on any one of the equal sides of an iso...

    Text Solution

    |

  10. In Figure, A ,B , C are three points on a circle such that the angles ...

    Text Solution

    |

  11. In Figure, O is the center of the circle and the measure of arc ABC is...

    Text Solution

    |

  12. In Figure, O is the center of the circle. The angle subtended by the a...

    Text Solution

    |

  13. In Figure, find m /PQB where O is the center of the circle

    Text Solution

    |

  14. Two circle intersect in Aa n dBa n dA Ca n dA D are respectively the d...

    Text Solution

    |

  15. Two circles are drawn with sides A B ,A C of a triangle A B C as diame...

    Text Solution

    |

  16. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

    Text Solution

    |

  17. In the figure, P is the centre of the circle. Prove that: /X P Z=2\...

    Text Solution

    |

  18. In a circle with centre O , chords A B\ a n d\ C D intersect ins...

    Text Solution

    |

  19. C is a point on the minor arc AB of the circle, with centre ...

    Text Solution

    |

  20. In Figure, chord E D is parallel to the diameter A C of the circ...

    Text Solution

    |