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 7 cm subtending a central angle measuring `30^0dot`

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 PUBLICATION|Exercise example|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Concept Application Exercises 2.1|8 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|4 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|2 Videos

Similar Questions

Explore conceptually related problems

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

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-

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.

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.

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.

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 .

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS -SINGLE CORRECT ANSWER TYPE
  1. Find the length of an arc of a circle of radius 7 cm subtending a ce...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  6. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  7. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    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. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

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

    Text Solution

    |

  11. The least value of 18 sin^(2)theta+2 cosec^(2)theta-3 is (a) -15 (b) ...

    Text Solution

    |

  12. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  13. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  14. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  15. Simplify :cos(x-(pi)/(2)).tan((3pi)/(2)+x)

    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

    |