Results 1 to 2 of 2

Math Help - circle problem

  1. #1
    Member
    Joined
    Jan 2008
    Posts
    173

    circle problem

    A circular garden is surrounded by a sidewalk with a uniform width of 14 feet. The total area of the sidewalk equals the total area of the garden. How many feet are in the diameter of the garden? Round your answer to the nearest whole number.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Amer's Avatar
    Joined
    May 2009
    From
    Jordan
    Posts
    1,093
    Quote Originally Posted by sri340 View Post
    A circular garden is surrounded by a sidewalk with a uniform width of 14 feet. The total area of the sidewalk equals the total area of the garden. How many feet are in the diameter of the garden? Round your answer to the nearest whole number.
    suppose the garden has the radius "r"

    so the area of the walk = (r+14)^2 \pi - r^2 \pi
    the area of the big circle ( garden with the walk) - the area of the garden

    and this equal to the area of the garden

    (r+14)^2 \pi - r^2 \pi = r^2 \pi

    find r and multiply it with 2 , that's the diameter
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Circle problem
    Posted in the Advanced Math Topics Forum
    Replies: 3
    Last Post: May 20th 2011, 10:20 AM
  2. Circle Problem
    Posted in the Geometry Forum
    Replies: 2
    Last Post: November 8th 2010, 03:40 PM
  3. Circle Problem
    Posted in the Geometry Forum
    Replies: 7
    Last Post: March 17th 2010, 05:35 PM
  4. Circle problem
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: December 6th 2008, 05:28 PM
  5. HELP!!! Circle problem
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: September 11th 2008, 06:29 PM

Search Tags


/mathhelpforum @mathhelpforum