Home
Class 12
MATHS
The diameter x of a circle is found by m...

The diameter x of a circle is found by measurement to be 5 cm with maximum error of 0.05 cm. The relative error in the area is

A

2

B

0.02

C

0.002

D

0.0002

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (TANGENT AND NORMAL)|205 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C (RATE OF CHANGE)|78 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)|15 Videos
  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The diameter x of a circle is found by measurement to be 5 cm with maximum error of 0.05 cm. The approximate maximum error in the area is

The diameter x of a circle is found by measurement to be 5 cm with maximum error is 0.05 cm. The approximate maximum error in the area is

The diameter of a circle found by measuring 5.2 cms with a maximum error 0.05 cms. The maximum 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

The circumference of a circle is measured as 14 cm with an error of 0.01 cm. The approximate percentage error in the area of the circle 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

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1A (APPROXIMATIONS AND ERRORS)
  1. A circular plate expands when heated from a radius of 5 cm to 5.06 cm....

    Text Solution

    |

  2. The diameter x of a circle is found by measurement to be 5 cm with max...

    Text Solution

    |

  3. The diameter x of a circle is found by measurement to be 5 cm with max...

    Text Solution

    |

  4. The circumference of a circle is measured as 56 cm with error 0.02 cm....

    Text Solution

    |

  5. In measuring the circumference of a circle , there is an error of 0.05...

    Text Solution

    |

  6. In measuring the circumference of a circle , there is an error of 0.05...

    Text Solution

    |

  7. The circumference of a circle is measured as 14 cm with an error of 0....

    Text Solution

    |

  8. In measuring the area of a circle in 25pi sq.cm, there is an error of ...

    Text Solution

    |

  9. In measuring the vertical angle of the sector of a circle of radius 30...

    Text Solution

    |

  10. If an error of 0.02 cm is made while measuring the radius 10 cm of a s...

    Text Solution

    |

  11. If there is a possible error of 0.02 cm in the measurement of the diam...

    Text Solution

    |

  12. There is an error of +-0.04 cm in the measurement of the diameter of ...

    Text Solution

    |

  13. If there is an error of 1/(10)% in the measurement of the radius of a ...

    Text Solution

    |

  14. If the radius of a sphere is raised from 10 cm to 10.02 cm when heated...

    Text Solution

    |

  15. The radius of a sphere is 3 cm. If an error of 0.03 cm is made in meas...

    Text Solution

    |

  16. The radius of a sphere is 3 cm. If an error of 0.03 cm is made in meas...

    Text Solution

    |

  17. If there is an error of 0.01 cm in the diameter of a sphere when its r...

    Text Solution

    |

  18. If there is a possible error of 0.01 cm in the measurement of side of ...

    Text Solution

    |

  19. If there is an error 0f 0.02 cm in the measurement of the side as 10 c...

    Text Solution

    |

  20. If there is an error of 0.05 cm is made while measuring the side 10 cm...

    Text Solution

    |