Home
Class 11
MATHS
Find the radius of the circle in which a...

Find the radius of the circle in which a central angle of `60^(@)` intercepts an arc of length 37.4 cm.
(Use `pi=(22)/(7)`)

Text Solution

Verified by Experts

The correct Answer is:
`35.7cm`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|19 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|60 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Question of Module (Knowledge Test :)|18 Videos

Similar Questions

Explore conceptually related problems

Find the area of a sector of a circle of radius 28 cm and central angle 45^(@) .

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

What is the radius of a circle inscribed in a triangle with sides of length 12cm, 35cm and 37cm?

Find the area of the segment AYB shown in the given figure, if radius of the circle is 21 cm and angle AOB = 120^(@) . (Use pi = (22)/(7) )

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

An arc PQ of a circle substends and angle 1.5 radian at its centre O. Let the radius of the circle is 100cm. If l is are length overset(frown)(PQ) (in cms) and m is area of sector POQ (in cms^(2)) , then (m)/(l) is

A chord of a circle of radius 6cm is making an angle 60 ^(@) at the centre.Find the length of the chord.

In the figure, OACB is a quadrant of a circle with centre O and radius 3.5cm . If OD=2cm , find the area of the shaded region. (usepi=(22)/(7))

A car has two wipers which do not ovarlap. Each wiper has a blade of length 25cm sweeping through an angle of 115^(@) . Find the total area cleaned at each sweep of the blades. (usepi=(22)/(7))

KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Convert 40^(@),20' into radian measure.

    Text Solution

    |

  2. Convert 6 radians into degree measure.

    Text Solution

    |

  3. Find the radius of the circle in which a central angle of 60^(@) inter...

    Text Solution

    |

  4. The minute hand of a watch is 1.5cm long. How far does it tip move in ...

    Text Solution

    |

  5. If the arcs of the same lengths in two circles subtends angles 65^(@)a...

    Text Solution

    |

  6. If cosx=(-3)/(5),x lies in the third quadrant, find the values of othe...

    Text Solution

    |

  7. If cotx=(-5)/(12),x lies in second quadrant, find the values of other ...

    Text Solution

    |

  8. Find the value of sin""(31pi)/(3)

    Text Solution

    |

  9. Find the value of cos(-1710^(@))

    Text Solution

    |

  10. Prove that, 3sin""(pi)/(6)sec""(pi)/(3)-4sin""(5pi)/(6)cot""(pi)/(4)=1

    Text Solution

    |

  11. Find the value of sin15^(@).

    Text Solution

    |

  12. Find the value of tan""(13pi)/(12)

    Text Solution

    |

  13. Prove that, (sin(x+y))/(sin(x-y))=(tanx+tany)/(tanx-tany)

    Text Solution

    |

  14. Show that, tan3xtan2xtanx=tan3x-tan2x-tanx.

    Text Solution

    |

  15. Prove that, cos((pi)/(4)+x)+cos((pi)/(4)-x)=sqrt(2)cosx.

    Text Solution

    |

  16. Prove that, (cos7x+cos5x)/(sin7x-sin5x)=cotx

    Text Solution

    |

  17. Prove that, (sin5x-2sin3x+sinx)/(cos5x-cosx)=tanx

    Text Solution

    |

  18. Find the principal solutions of the equation sinx=sqrt(3)/(2).

    Text Solution

    |

  19. Find the principal solutions of the equation tanx=-(1)/(sqrt(3)).

    Text Solution

    |

  20. Find the solution of sinx=-(sqrt(3))/(2).

    Text Solution

    |