Home
Class 12
MATHS
If the radius of a circle is 2 cm and is...

If the radius of a circle is 2 cm and is increasing at the rate of 0.5 cm/sec., then the rate of increase of its area is

A

`pi cm^(2)//sec`

B

`2pi cm^(2)//sec`

C

`3pi cm^(2)//sec`

D

`4pi cm^(2)//sec`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos
  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

If the radius of the circle is increasing at the rate of 0.5 cm/s , then the rate of increase of its circumference is ......

The radius of a circle is increasing at the rate of 0.5cm/sec. Find the rate of increase of its circumference.

If the radius of circle is increasing at the rate of 0.5 cm/s, then the rate of increase of its circumference is______

The radius of a circle is increasing at the rate of 0.7 cm/sec. What is the rate of increase of its circumference?

If the length of the diagonal of a square is increasing at the rate of 0.2 cm/sec, then the rate of increase of its area when its side is 30//sqrt(2) cm, is

The radius of a circular plate is increasing at the rate of 0.01 cm/sec. The rate of increase of its area when the radius is 12 m

The radius of a spherical soap bubble is increasing at the rate of 0.2 cm/sec. Find the rate of increase of its surface area, when the radius is 7 cm.

(i) The radius of a circle is increasing at the rate of 5 cm/sec. Find the rate of increasing of its perimeter. (ii) If the area of a circle increases at a constant rate, then show that the rate of increase of its circumference is inversely proportional to its circumference is iversely proportional to its radius.

The radius of a circle is increasing at the rate of 0.7cm/s .What is the rate of increase of its circumference?

NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. The edge of a cube is decreasing at the rate of 0.04 cm/sec. If the ed...

    Text Solution

    |

  2. एक घन के आयतन 8 cm ^3 //s की दर से बढ़ रहा है पृष्ठ क्षेत्रफल किस द...

    Text Solution

    |

  3. If the radius of a circle is 2 cm and is increasing at the rate of 0.5...

    Text Solution

    |

  4. Find the rate of change of the area of a circular disc with respect...

    Text Solution

    |

  5. The radius of a circular blot of oil is increasing at the rate of 2 cm...

    Text Solution

    |

  6. The radius of a circular blot of oil is increasing at the rate of 2 cm...

    Text Solution

    |

  7. A stone is dropped into a pond. Waves in the form of circles are gener...

    Text Solution

    |

  8. A stone is dropped into a pond. Waves in the form of circles are gener...

    Text Solution

    |

  9. If the rate of increase of area of a circle is not constant but the ra...

    Text Solution

    |

  10. The radius of a soap bubble is increasing at the rate of 0.2 cm/sec. I...

    Text Solution

    |

  11. A spherical soap bubble is expanding so that its radius is increasing ...

    Text Solution

    |

  12. एक गुब्बारा जो सदैव गोलाकार रहता है का परिवर्तन व्यास 3/2(2x+1) है x क...

    Text Solution

    |

  13. A spherical snow ball is melting so that its volume is decreasing at t...

    Text Solution

    |

  14. The volume of spherical ball is increasing at the rate of 4pi "cc/sec"...

    Text Solution

    |

  15. If the volume of spherical ball is increasing at the rate of 4pi" cc/s...

    Text Solution

    |

  16. Gas is being pumped into a a spherical balloon at the rate of 30 ft^(3...

    Text Solution

    |

  17. A spherical balloon is filled with 4500p cubic meters of helium gas...

    Text Solution

    |

  18. A spherical iron ball 10cm in radius is coated with a layer of ice of ...

    Text Solution

    |

  19. The surface area of a spherical balloon is increasing at the rate of 2...

    Text Solution

    |

  20. If V denotes the volume and S is the surface area of a sphere. If radi...

    Text Solution

    |