Results 1 to 2 of 2

Math Help - Diameter

  1. #1
    Newbie
    Joined
    Apr 2010
    Posts
    11

    Diameter

    I've got a maths exam next week and i need to know how to work this question out for my revision so please could u show me:

    The diameter of a table is 5.5 metres. A book claims that 50 people sat around the table. Assume each person needs 45 cm around th circumference of the table. is it possible for 50 people to sit around the table? show your working to explain your answer.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Apr 2010
    Posts
    57
    First find the circumference.

    \text{circumference}=2\pi\;r

    The diameter of the table is twice the radius.

    2r=5.5 \;\text{meters} so r=2.75 \;\text{meters}

    and

    \text{circumference}=2\pi*r=2\pi*2.75=17.28\;\text  {meters}

    And we know that 17.28\;\text{meters}*100=1728\;\text{cm}

    You need to fit 50 people with 45 cm per person. That's 50*45=2250\;\text{cm}

    Since 2250\geq 1728, they will not fit, because you need at least 2250 cm and you only have 1728.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Diameter question.
    Posted in the Geometry Forum
    Replies: 4
    Last Post: June 2nd 2010, 09:35 AM
  2. diameter of a circle
    Posted in the Geometry Forum
    Replies: 2
    Last Post: May 14th 2010, 09:54 PM
  3. Diameter of Hyperbola
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: April 9th 2010, 06:31 PM
  4. Diameter and Area!
    Posted in the Geometry Forum
    Replies: 1
    Last Post: March 10th 2010, 07:03 PM
  5. Diameter of the Moon
    Posted in the Trigonometry Forum
    Replies: 10
    Last Post: March 8th 2010, 11:51 AM

Search Tags


/mathhelpforum @mathhelpforum