Home
Class 12
MATHS
If the arcs of the same length in two ci...

If the arcs of the same length in two circles subtend angles `65^(@)` and `110^(@)` at the center, then the ratio of their radii.

Text Solution

AI Generated Solution

To solve the problem, we need to find the ratio of the radii of two circles given that the arcs of the same length subtend angles of 65° and 110° at the center of each circle. ### Step-by-Step Solution: 1. **Understanding the Relationship**: The length of an arc \( L \) in a circle is given by the formula: \[ L = R \cdot \theta ...
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment section-A (Objective Type Questions (One option is correct))|49 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment Section-B (Objective Type Questions (One option is correct))|1 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

If the arcs of the same length in two circles subtend angles of 60^(@) and 90^(@) at the centre, then the ratio of the their radii is :

If the arcs of the same length in two circles subtend angels 65^(0) and 110^(0) at the centre, find the ration of their radii.

If the arcs of the same length in two circles subtend angles 75^(@) and 120^(@) at the centre find the ratio of their radii

If the arc of the same length in two circles subtend angles 75^(@) and 120^(2) at the centre, find the ratio of their radii.

If arcs of the same lengths in two circles subtend angles of 65^0 and 110^0 at the centre, find the ratio of their radii.

If the arcs of same length in two circles subtend angles of 30^(@) and 45^(@) at their centers, then find the ratio of their radii.

If arcs of same length in two circles subtend angles of 60^(@) and 75^(@) at their centers,find the ratios of their radii.

If the arcs of same length in two circles subtend angles of 60^(@) and 75^(@) at their centers. Find the ratio of their radaii.

If the arcs of the same lengths m two circles subtend angles 65o and 110o at the centre, find the ratio of their radii.

If the area of same length in two circles subtend angles of 60^(@) and 75^(@) at their centres. Find the ratio of their radii.

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Try Yourself
  1. Convert 10^(@) into radians.

    Text Solution

    |

  2. Convert 3 radians into degrees.

    Text Solution

    |

  3. If the arcs of the same length in two circles subtend angles 65^(@) an...

    Text Solution

    |

  4. The radius of a cirle is 30 cm. Find the length of an arc of this circ...

    Text Solution

    |

  5. The minute hand of a watch is 5cm long. How far does its tip move in 3...

    Text Solution

    |

  6. If sin theta=-12/13 and theta lies in the IV quadrant, then find all o...

    Text Solution

    |

  7. If costheta=1/2\ a n d\ pi<theta<(3pi)/2 , find the value of 4tan^2the...

    Text Solution

    |

  8. Find the values of the following trignometric ratios: (a) cos 855^(@)...

    Text Solution

    |

  9. Prove that (a) sin^(2)(pi/6) + cos^(2)( pi/3) - tan^(2)(pi/4) = -1/2 ...

    Text Solution

    |

  10. In a triangle ABC, prove that (a)cos(A + B) + cos C = 0 (b)tan( (A+...

    Text Solution

    |

  11. Using the graph, determine the values of theta, for which sin theta an...

    Text Solution

    |

  12. If sinA=3/5 and cosB =-12/15, where A and B both lie in second quadran...

    Text Solution

    |

  13. Find the value of cos 75^(@)

    Text Solution

    |

  14. (tan(pi/4+x))/(tan(pi/4-x)) = ((1+tanx)/(1-tanx))^(2)

    Text Solution

    |

  15. Prove that tan8theta - tan6theta - tan2theta= tan8theta tan6theta ta...

    Text Solution

    |

  16. i) If A+B=pi/4 prove that: (cotA-1)(cotB-1)=2 ii) If tan(picosthet...

    Text Solution

    |

  17. cos 20^@.cos 40^@.cos 60^@ cos 80^@=

    Text Solution

    |

  18. Prove that, sin20^@sin40^@sin80^@=sqrt3/8.

    Text Solution

    |

  19. (sinA+sin3A)/(cosA+cos3A)=tan2A

    Text Solution

    |

  20. cos((3pi)/(4)+x)-cos((3pi)/(4)-x) = -sqrt(2)sinx

    Text Solution

    |