Home
Class 10
MATHS
A B is the diameter of a circle, centre ...

`A B` is the diameter of a circle, centre `OdotC` is a point on the circumference such that `/_C O B=thetadot` The area of the minor segment cut off by AC is equal to twice the area of the sector BOC. Prove that `sin (theta/2) cos (theta/2)=pi(1/2-theta/(120))`

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|329 Videos

Similar Questions

Explore conceptually related problems

Prove that sin^(2) theta + cos^(2) theta =1

Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

Prove that sin(2theta)/(1-cos2theta)=cot theta

Prove that: (sin2theta)/(1-cos2theta)=cottheta

Prove that: (sin2theta)/(1+cos2theta)=tantheta

Prove that 1-cos^(2)theta=sin^(2)theta

Prove that: (sin2theta)/(1+cos2theta)=t a ntheta

Prove that: (sin2theta)/(1+cos2theta)=t a ntheta

RD SHARMA ENGLISH-AREAS RELATED TO CIRCLES-All Questions
  1. The length of minute hand of a clock is 14cm. Find the area swept by ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. In a circle with centre O and radius 5cm, AB is a chord of length 5sqr...

    Text Solution

    |

  5. An arc of a circle is a length 5pic m and the sector it bounds has an ...

    Text Solution

    |

  6. A horse is placed for grazing inside a rectangular field 70m by 52m an...

    Text Solution

    |

  7. Circle inside a Circle : PQRS is a diameter of a circle of radius 6 cm...

    Text Solution

    |

  8. In figure, find the area of the shaded region [U s epi=3. 14]

    Text Solution

    |

  9. A paper is in the form of a rectangle A B C D in which A B=20 c m and ...

    Text Solution

    |

  10. Find the circumference and area of a circle of radius 8.4 cm.

    Text Solution

    |

  11. Find the area of a circle whose circumference is 22 cm.

    Text Solution

    |

  12. The circumference of a circle exceeds the diameter by 16.8 cm. Find...

    Text Solution

    |

  13. Two circles touch internally. The sum of their areas is 116pi\ c m^2...

    Text Solution

    |

  14. A wire is looped in the form of a circle of radius 28 cm. It is re-...

    Text Solution

    |

  15. A race track is in the form of a ring whose inner circumference is ...

    Text Solution

    |

  16. A bicycle wheel makes 5000 revolutions in moving 11 km. Find the di...

    Text Solution

    |

  17. The diameter of a wheel is 84 cm. How many revolution will it make to ...

    Text Solution

    |

  18. A car has wheels which are 80 cm in diameter. How many complete rev...

    Text Solution

    |

  19. The cost of fencing a circular field at the rate Rs 24 per metre is...

    Text Solution

    |

  20. Figure, depicts an archery target marked with its five scoring areas...

    Text Solution

    |