Home
Class 12
MATHS
The circumference of a circle is measure...

The circumference of a circle is measured as 28cm with an error of 0.01cm. The percentage error in the area is `1/(14)` (b) `0. 01` (c) `1/7` (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    RD SHARMA ENGLISH|Exercise All Questions|646 Videos
  • DIFFERENTIATION

    RD SHARMA ENGLISH|Exercise All Questions|806 Videos

Similar Questions

Explore conceptually related problems

The circumference of a circle is measured as 56 cm with an error 0.02 cm. The percentage error in its area, is

If the length of a cylinder is measured to be 50 cm with an error of 0.25 cm. The percentage error in the measured length is

If the length of a cylinder is measured to be 4.28 cm with an error of 0.01 cm. The percentage error in the measured length is nearly

One side of a square is measured as 16.7 cm to an accuracy of 0.1 cm. What is the percentage error in area?

The diameter of a wire is measured as 0.25 cm using a screw gauge of least count 0.005 cm. The percentage error is

The length of a cylinder is measured as 5 cm using a vernier calipers of least count 0.1 mm. The percentage error is

The radius of a sphere is 4 cm with a possible error of 0.01 cm . Then absolute error in volume is

If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, find the approximate error in calculating its surface area.

The radius of a sphere is (4.8 +- 0.1) cm The perecentage error in its volume is

The radius of a sphere is (5.3 +- 0.1) cm The perecentage error in its volume is

RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
  1. Find the approximate change in the surface area of a cube of side x...

    Text Solution

    |

  2. If the radius of a sphere is measured as 7 m with an error or 0.02 ...

    Text Solution

    |

  3. Find the approximate change in the volume of a cube of side x metre...

    Text Solution

    |

  4. For the function y=x^2 , if x=10 and x=0. 1 . Find y .

    Text Solution

    |

  5. If y=(log)e x , then find y when x=3 and x=0. 03 .

    Text Solution

    |

  6. If the relative error in measuring the radius of a circular plane i...

    Text Solution

    |

  7. If the percentage error in the radius of a sphere is alpha , find t...

    Text Solution

    |

  8. A piece of ice is in the form of a cube melts so that the percentag...

    Text Solution

    |

  9. If there is an error of 2% in measuring the length of simple pendulum,...

    Text Solution

    |

  10. If there is an error of a% in measuring the edge of a cube, then pe...

    Text Solution

    |

  11. If an error of k% is made in measuring the radius of a sphere, then...

    Text Solution

    |

  12. The height of a cylinder is equal to the radius. If an error of alp...

    Text Solution

    |

  13. While measuring the side of an equilateral triangle an error of k %...

    Text Solution

    |

  14. If (log)e4=1. 3868 , then (log)e 4.01= (a) 1.3968 (b) 1.3898 (c) 1.38...

    Text Solution

    |

  15. A sphere of radius 100 mm shrinks to radius 98 mm, then the approxi...

    Text Solution

    |

  16. If the ratio of base radius and height of a cone is 1:2 and percent...

    Text Solution

    |

  17. The pressure P and volume V of a gas are connected by the relation P V...

    Text Solution

    |

  18. If y=x^n , then the ratio of relative errors in ya n dx is 1:1 (b) 2...

    Text Solution

    |

  19. The approximate value of (33)^(1//5) is (a) 2.0125 (b) 2.1 (c) 2.01...

    Text Solution

    |

  20. The circumference of a circle is measured as 28cm with an error of ...

    Text Solution

    |