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Math Help - Convert semicircle to sq millimeters

  1. #1
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    Convert semicircle to sq millimeters

    What is the mathematical formula to convert a circle to square millimeters.
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    Quote Originally Posted by Risrocks View Post
    What is the mathematical formula to convert a circle to square millimeters.
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    Do you mean how do you find the area? The semicircle is half a circle so
    A = \frac{1}{2} \pi r^2

    -Dan
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    G'day Dan,

    Thanks, but I'm being asked to "calculate the area of the semicircle in sq mm". I did A = \frac{1}{2} \pi r^2 = 1.57. I don't know the formula to convert the area of 1.57 to sq mm. Hope this makes sense, and thanks for your help.
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  4. #4
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    Depends on what we're converting from. Is your radius in centimetres, metres, millimetres, inches, ... ?
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  5. #5
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    Please see attachment, which displays diagram for question "calculate the area of semicircle in sq mm". Thanks again.
    Attached Thumbnails Attached Thumbnails Convert semicircle to sq millimeters-figure.jpg  
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    Well then no conversion needs to be done since your radius is already in mm. Just simply find the area.

    This may help: if you had a square with dimensions 5 metres by 5 metres, then the area would be 25 metres squared or square metres (The term 'square' refers to the fact that you're dealing with a concept in 2 dimensions). You wouldn't say the area is 25 metres.
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    Thanks very much. As you can see, Complex Maths is not my forte but I need to complete as part of my Residential Drafting Certificate.
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  8. #8
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    Quote Originally Posted by Risrocks View Post
    G'day Dan,

    Thanks, but I'm being asked to "calculate the area of the semicircle in sq mm". I did A = \frac{1}{2} \pi r^2 = 1.57. I don't know the formula to convert the area of 1.57 to sq mm. Hope this makes sense, and thanks for your help.
    Your diameter = 100mm. Therefore, your radius = 50mm.

    A=\frac{1}{2}\pi r^2

    A=\frac{1}{2}\pi (50)^2

    A=1250 \pi mm^2 \approx3926.99 mm^2
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