Help. I need the width of a round room that totals 675 Sq. FT.

By on March 10th, 2008




It’s for a design problem that I want to give my students. It’s a kitchen that they need to redesign.
My students are studying interior design. I have a floor plan for the existing kitchen, and was given the total square footage. I just want them to practice redesigning this space, for a theoretical remoder. Therefore I needed the overall Length x width. Your formulas are great. I just don’t remember all that much about Pi and stuff. Thanks for everyone here that tried to make it user friendly for me. You guys rock.
That’s “remodel” up there(no edit option.)

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6 comments

  1. rohan says:

    if its round, it cnt hv width,

    it has a radius

    wht u sayin totals 675 sq fts, so did u calcuate is by pi* radius *(power 2).

    March 10th, 2008 at 11:15 pm

  2. Dave says:

    Area = pi * r²

    r = sqrt(Area/pi)

    r = sqrt(675/pi)

    width = 2*r

    width = 2*sqrt(675/pi) ~~ 29.316150714175195295183077370301

    March 11th, 2008 at 12:03 am

  3. Tommy12oz says:

    area of room= pi * radius^2
    pi*r^2=675
    r^2=214.859
    r=14.6581
    width of room=2*r
    WIDTH OF ROOM=29.31 APPROXIMATE

    March 11th, 2008 at 12:49 am

  4. Wazeem A says:

    By width u mean diameter right

    area = 675 = pi(radius)^2
    so radius=sqrt(675/pi)
    so width of room= 2*radius which comes to be about 29.2

    March 11th, 2008 at 1:31 am

  5. rwbblb46 says:

    A=pi*r^2

    r^2=A/pi =675/3.14=214.97

    take square root Ans. 14.66 radius

    March 11th, 2008 at 2:18 am

  6. amber_socci says:

    well the area of a circle is a=pi*r^2
    so 675ft^2= 3.14*r^2
    215=r^2
    r= ~14.66

    If you are creating this problem you may want to make it so that the students get a clear number, not .66. just a suggestion.

    March 11th, 2008 at 3:15 am

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