Home
Class 10
MATHS
A chord 10 cm long is drawn in the circl...

A chord 10 cm long is drawn in the circle whose radius is `5 sqrt2` cm. Find the area of both the segments.

Text Solution

Verified by Experts

In △OAB,
`OA^2+OB^2=50+50=100`
`AB^2=10^2=100`
i.e., `OA^2+OB^2=AB^2` which satisfies the Pythagoras theorem.
[X_RD_15_E01_29]
Therefore, `theta=90^@`
Area of minor segment=area of sector-Area of △AOB
...
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise All Questions|329 Videos

Similar Questions

Explore conceptually related problems

A chord of length 16cm is drawn in a circle of radius 10cm. Find the distnace of the chord from the centre of the circle.

The area of a circle whose radius is 10 cm is _____.

If two concentric circles,a chord of length 24cm of larger circle becomes a tangent to the smaller circle whose radius is 5cm. Find the radius of the larger circle.

In two concentric circles,a chord of length 24cm of larger circle becomes a tangent to the smaller circle whose radius is 5cm. Find the radius of the larger circle.

A chord of length 16 cm is drawn in a circle of radius 10 cm .Calculate the distance of the chord from the centre of the circle.

AB is a chord of a circle with centre O and radius 4cm.AB is of length 4cm. Find the area of sector of the circle formed by chord AB.

Find the lengths of the arcs cut off from a circle of radius 12cm by a chord 12cm long. Also find the area of the minor segment.[use pi=3.14,sqrt(3)=1.732]

AB is a chord of a circle with centre O and radius 4cm.AB is of length 4cm and divides the circle into two segments.Find the area of the minor segment.

RD SHARMA-AREAS RELATED TO CIRCLES-All Questions
  1. Figure, ABCD is a square of side 2a. Find the ratio between the circu...

    Text Solution

    |

  2. A bucket is raised from a well by means of a rope which is wound round...

    Text Solution

    |

  3. A chord 10 cm long is drawn in the circle whose radius is 5 sqrt2 cm. ...

    Text Solution

    |

  4. In Figure, ABC is a right-angled triangle, /B=90^0,A B=28 c m and B C=...

    Text Solution

    |

  5. If Figure, there are three semicircles, A, B and C having diameter ...

    Text Solution

    |

  6. The inner and outer diameters of ring 1 of a dartboard are 32cm and ...

    Text Solution

    |

  7. In Figure AB = 36 cm and M is mid-point of AB. Semi-circles are drawn...

    Text Solution

    |

  8. A drain cover is made from a square metal plate of side 40cm having 44...

    Text Solution

    |

  9. A chord AB of a circle of radius 10cm makes a right angle at the centr...

    Text Solution

    |

  10. A chord AB of a circle of radius 10cm subtends a right angle at the ...

    Text Solution

    |

  11. A pendulum swing through an angle of 30^@ and describes an arc 8.8 cm ...

    Text Solution

    |

  12. In Figure, there are shown sectors of two concentric circles of radii ...

    Text Solution

    |

  13. A car travels 1 kilometre distance in which each wheel makes 450 co...

    Text Solution

    |

  14. In DeltaABC with fixed length of BC , the internal bisector of angle C...

    Text Solution

    |

  15. An elastic belt is placed round the rim of a pulled of radius 5cm. One...

    Text Solution

    |

  16. The short and long hands of a clock are 4cm and 6cm long respectively....

    Text Solution

    |

  17. The perimeter of a sector of a circle of radius 5.2cm is 16.4cm. Find ...

    Text Solution

    |

  18. The length of minute hand of a clock is 14cm. Find the area swept by ...

    Text Solution

    |

  19. A chord AB of a circle of radius 10cm subtends a right angle at the ...

    Text Solution

    |

  20. A B is the diameter of a circle, centre OdotC is a point on the circum...

    Text Solution

    |