Home
Class 12
MATHS
Find the length of an arc of a circle of...

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

Text Solution

Verified by Experts

Let s be the length of the are subtending an angle `theta^R` at the center of a circle of radius r. Then, `theta=s//r`.
`Here, r= 5cm and theta=15^(@)=(15xxpi/180)^R=(pi/12)^R`
`:. Theta=s/r"or"pi/12=s/5" or " (5pi)/12cm`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.1|8 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.2|8 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Archives (Matrix Match Type)|1 Videos
  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

Find the length of an arc of a circle of radius 5cm subtending a central angle measuring 15^(0).

Find the length of an arc of a circle of radius 10cm subtending an angle of 30^0 at the centre

Find the length of an arc of circle of radius 6cm subtending an angle of 15^(@) at the centre.

Find the length of an arc of a circle of radius 10 cm which subtends an angle of 45^(@) at the center

If an arc of a circle of radius 6 cm subtends a central angle measuring 30^(@) , then which one of the following is an approximate length of the arc?

Find the length of the arc of a circle of diameter 42 cm which subtends an angle of 60^(@) at the centre.

An arc of length of length 19 cm of a circle of radius 30 cm, subtends an angle theta at the centre O. Then value of theta is:

An arc of length 10cm of a circle of radius 5cm subtends an angle at the center is equal to ( in radians)

An arc of length of length 19 cm of a circle of radius 30 cm, subtends an angle theta at the centre O. The value of theta is:

Find the angle subtended at the centre of a circle of radius 'a' by an arc of length (a pi/4)

CENGAGE-TRIGONOMETRIC FUNCTIONS -SINGLE CORRECT ANSWER TYPE
  1. Find the length of an arc of a circle of radius 5 cam subtending a ...

    Text Solution

    |

  2. The circular wire of diameter 10 cm is cut and placed along the circum...

    Text Solution

    |

  3. sintheta/(1-cottheta)+costheta/(1-tantheta)= (a)theta (b)1 (c)costh...

    Text Solution

    |

  4. If theta in (pi//4, pi//2) and sum(n=1)^(oo)(1)/(tan^(n)theta)=sin the...

    Text Solution

    |

  5. The value of (tan^(2)20^(@)-sin^(2)20^(@))/(tan^(2)20^(@).sin^(2)20^(@...

    Text Solution

    |

  6. If 15 sin^(4)alpha+10cos^(4)alpha=6, then the value of 8 cosec^(6)alph...

    Text Solution

    |

  7. In DeltaABC, if sin A + sin B + sin C= 1 + sqrt2 and cos A+cos B+cos...

    Text Solution

    |

  8. If (sin^(2)x-2cos^(2)x+1)/(sin^(2)x+2cos^(2)x-1)=4, then the value of ...

    Text Solution

    |

  9. If sintheta,tantheta,costheta are in G.P. then 4sin^2theta-3sin^4theta...

    Text Solution

    |

  10. If tantheta-cottheta=aandsintheta+costheta=b(b^2-1)^2(a^2+4) is equal...

    Text Solution

    |

  11. The least value of 18 sin^(2)theta+2 cosec^(2)theta-3 is

    Text Solution

    |

  12. If tan^2 alpha tan^2 beta + tan^2 beta tan^2 gamma + tan^2 gamma tan^2...

    Text Solution

    |

  13. If x,y,z be all positive acute angles then the least value of tanx(cot...

    Text Solution

    |

  14. Three circles each of radius 1, touch one another externally and they ...

    Text Solution

    |

  15. If (cos alpha)/(cos A)+(sin alpha)/(sin A)+(sin beta)/(sin A)=1, where...

    Text Solution

    |

  16. Consider angles alpha = (2n+(1)/(2))pi pm A and beta = m pi +(-1)^(m)(...

    Text Solution

    |

  17. Which of the following is true ?

    Text Solution

    |

  18. If the angle A of a triangle ABC is given by the equation 5 cos A + 3 ...

    Text Solution

    |

  19. Which of the following is greatest ?

    Text Solution

    |

  20. The number of value/values of x for which sin y=x^(2)-2x si possible i...

    Text Solution

    |

  21. Which of the following is not correct ?

    Text Solution

    |