Home
Class 11
MATHS
Prove that the area of a sector of a cir...

Prove that the area of a sector of a circle of radius r and an arc of length s is `1/2` rs.

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

Prove that the area of a sector of circle with radius r and central angle theta^@ is 1/2 r^2 theta .

Find the area of sector of a circle with radius 6 cm, if angle of the sector is 60^@ .

Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm (Use pi= 22/7 ).

The perimeter of a sector of a circle of radius 5.8 m is 27.2 m. Find the area of the sector.

Find the area of the sector of a circle with ratdius 4 cm and of angle 30^@ . Also, find ihe area of the corresponding major sector (Use pi = 3.14).

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. In any triangle ABC : If (cosA)/a= (cosB)/b, prove that the triangle ...

    Text Solution

    |

  2. Prove that the area of a sector of circle with radius r and central an...

    Text Solution

    |

  3. Prove that the area of a sector of a circle of radius r and an arc of ...

    Text Solution

    |

  4. The greatest angle of a cyclic quadrilateral is three times the least....

    Text Solution

    |

  5. A wire 121 cm long is bent so as to lie along the arc of a circle of 9...

    Text Solution

    |

  6. Prove that: (tan A)/(1-cotA)+ (cotA)/(1-tan A)= 1/ (sinA cosA)+1.

    Text Solution

    |

  7. Prove that (tan^2 theta)/(tan^2 theta-1)+(cosec^2 theta)/ (sec^2 theta...

    Text Solution

    |

  8. Prove that: (tanA+secA-1)/(tan A -secA +1)= secA+tanA.

    Text Solution

    |

  9. Eliminate alpha between the equations: (sin^2 alpha)/(cos alpha)=a^3...

    Text Solution

    |

  10. Find the value of 3(sinx-cosx)^(4)+6(sinx+cos x)^(2)+4(sin^(6)x+cos^(6...

    Text Solution

    |

  11. Given, sin x =-3/7 and x belongs to the third quadrant, obtain the va...

    Text Solution

    |

  12. If 7 sin A = 24 cos A and 0ltAlt pi/2, find 14 tan A - 25 cos A-7 sec...

    Text Solution

    |

  13. If sectheta= x+1/(4x) , then prove that sectheta+tantheta=2x or 1/(2x)...

    Text Solution

    |

  14. If tan theta =p/q, show that : (p sin theta-q cos theta)/(p sin thet...

    Text Solution

    |

  15. If sin x + sin^2 x = 1, show that : cos^4 x+ cos^2 x=1.

    Text Solution

    |

  16. If sin x + cos x =sqrt2 cos x, show that : sqrt2 sin x =cos x- sin x.

    Text Solution

    |

  17. If a cos theta-b sintheta=c, then find the value of a sin theta+b cos...

    Text Solution

    |

  18. If A+B = alpha and sin A =k sin B, show that : tanA= (k sin alpha)/(...

    Text Solution

    |

  19. Prove that sin frac (pi)(14) sin frac (3 pi)(14) sin frac (5pi)(14) si...

    Text Solution

    |

  20. Prove that : cos^2 A+cos^2 (A+120^@)+ cos^2 (A-120^@)=3/2.

    Text Solution

    |