Home
Class 11
MATHS
Find the length of an arc of a circle of...

Find the length of an arc of a circle of radius 5cm subtending a central angle measuring `15^0dot`

Text Solution

Verified by Experts

Length of an arc is given by ,
`l = pi/180*r *theta`
Here, `r = 5cmand theta = 15^@`
`:. l = pi/180*5*15 = (5pi)/12 cm`
So, the length of the arc is `(5pi)/12 cm`.
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Find the length of an arc of a circle of radius 7 cm subtending a central angle measuring 30^0dot

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

If the arc of a circle of radius 60 cm subtends and angle 2/3 radian at its centre , then the length of the arc will be

A circular wire of radius 7 cm is cut and bend again into an arc of a circle of radius 12 cm. The angle substended by the arc at the centre of the circel is-

Prove that the lengths of the chord of a circle which subtends an angle 108^(@) at the centre is equal to the sum of the lenths of the chords which subtend angles 36^(@) and 60^(@) at the centre of the same circle.

An are of certain length subtends 20^@17' at the centre of a circle of radius 6 cm . Find in sexagesimal unit the angle subtended by the same arc at the centre of a circle of radius 8 cm .

The length of radius of a circle is 21 cm. Determine the cfircular and sexagesimal measures of the central angle produced by an are of length 5*5 cm of this circle.

A wire of length 15 cm is bent so as to lie along the circumference of a circle of radius 25 cm . Find in degrees the angle which the wire subtends at the centre of the circle .

If a point P is 17 cm from the centre of a circle of radius 8 cm, then find the length of the tangent drawn to the circle from point P.

The length of a radius of a circle is 28 cm. Determine the circuclar value of angle subtended by an arc of 5.5 cm length at the centre of of this circle.

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. In triangle A B C , if cosA+cosB+cosC=7/4, t h e n R/r is equal to 3/4...

    Text Solution

    |

  2. Find the number of solutions of sin^2x-sinx-1=0 xin[-2pi,2pi]

    Text Solution

    |

  3. Find the length of an arc of a circle of radius 5cm subtending a ce...

    Text Solution

    |

  4. In an equilateral triangle, the inradius, circumradius, and one of the...

    Text Solution

    |

  5. Solve : (log)((-x^2-6x)//10)(sin3x+sinx)=(log)((-x^2-6x)//10)(sin2x)

    Text Solution

    |

  6. Find in degrees the angle subtended at the centre of a circle of di...

    Text Solution

    |

  7. The area of a regular polygon of n sides is (where r is inradius, R is...

    Text Solution

    |

  8. Find the value of theta which satisfy rsintheta=3 and r=4(1+sintheta)...

    Text Solution

    |

  9. If arcs of same length in two circles subtend angles of 60^0 and 75^0 ...

    Text Solution

    |

  10. If the sides a , b , c of a triangle A B C form successive terms of G....

    Text Solution

    |

  11. The number of solution of 16^(sin^2 x) + 16^(cos^2 x) = 10 : 0 le x le...

    Text Solution

    |

  12. If secx+sec^2x=1 then the value of tan^8x-tan^4x-2tan^2x+1 will be equ...

    Text Solution

    |

  13. In triangle A B C ,ifPdotQ ,R divides sidesB C ,A C , and A B , respec...

    Text Solution

    |

  14. Find the general value of theta which satisfy both sintheta=-1/2 and t...

    Text Solution

    |

  15. If sec alpha and alpha are the roots of x^2-p x+q=0, then (a) p^2=...

    Text Solution

    |

  16. Solve the equation sinx+cosx=1

    Text Solution

    |

  17. In the given figure A B is the diameter of the circle, centred at Odot...

    Text Solution

    |

  18. The value of expression (2sin^2 91^0-1)(2sin^2 92^0-1)......(2sin^2 18...

    Text Solution

    |

  19. Solve (tan3x-tan2x)/(1+tan3xtan2x )=1

    Text Solution

    |

  20. In a A B C ,ifA B=x , B C=x+1,/C=pi/3 , then the least integer value ...

    Text Solution

    |