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

Text Solution

AI Generated Solution

To solve the problem of finding the percentage error in the area of a circle given the circumference and its error, we can follow these steps: ### Step 1: Understand the relationship between circumference and radius The circumference \( C \) of a circle is given by the formula: \[ C = 2\pi r \] where \( r \) is the radius of the circle. ...
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 4.28 cm with an error of 0.01 cm. The percentage error in the measured length is nearly

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 44 cm. Find its area.

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

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.

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

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

The length the breath of a rectangular object are 25 cm and 10 cm respectively and were measured to an accuracy of 0.1 cm . The percentage error in area is

RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
  1. The approximate value of (33)^(1/5) is

    Text Solution

    |

  2. Use differentials to approximate sqrt(25. 2)

    Text Solution

    |

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

    Text Solution

    |

  4. If y=x^4-10 and if x changes from 2 to 1.99, what is the approximat...

    Text Solution

    |

  5. A circular metal plate expands under heating so that its radius inc...

    Text Solution

    |

  6. Find the percentage error in calculating the volume of a cubical bo...

    Text Solution

    |

  7. The time t of a complete oscillation of a simple pendulum of length l ...

    Text Solution

    |

  8. Find the approximate change in the volume V of a cube of side x met...

    Text Solution

    |

  9. If the radius of a sphere is measured as 9 cm with an error of 0.03...

    Text Solution

    |

  10. Find the approximate value of f(3. 02) , where f(x)=3x^2+5x+3 .

    Text Solution

    |

  11. Find the approximate volume of metal in a hollow spherical shell wh...

    Text Solution

    |

  12. Use differentials to approximate sqrt(25. 2) .

    Text Solution

    |

  13. Use differentials to approximate the cube root of 127.

    Text Solution

    |

  14. Use differentials to find the approximate value of sqrt(0. 037) .

    Text Solution

    |

  15. Use differentials to find the approximate value of (log)e(4. 01), havi...

    Text Solution

    |

  16. Using differentials find the approximate value of tan46^0, if it is be...

    Text Solution

    |

  17. If in a triangle A B C , the side c and the angle C remain constant, w...

    Text Solution

    |

  18. If a triangle ABC, inscribed in a fixed circle, be slightly varied in ...

    Text Solution

    |

  19. If y=sinx and x changes from pi//2 to 22//14 , what is the approxim...

    Text Solution

    |

  20. The radius of a sphere shrinks from 10 to 9.8 cm. Find approximatel...

    Text Solution

    |