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Math Help - Finding the value of R/S

  1. #1
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    Finding the value of R/S

    Let A be the total area of 5 circles with radius R. And let B be the total area of 3 circles with radius R. If A=B. What is R/S ?

    I know that A = 5(pie)*r^2 = 3(pie)*s^2 = B

    So, how can I find the value of r and s?

    Thanks in advance
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  2. #2
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    Re: Finding the value of R/S

    I don't know what you are using S to represent?
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  3. #3
    MHF Contributor Siron's Avatar
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    Re: Finding the value of R/S

    I guess s is the radius of the other 3 circles, try also not to use sometimes capital letters and sometimes small letters, that can be really confusing.
    If you have:
     A=5\cdot \pi\cdot r^2
    B=3\cdot \pi \cdot s^2

    If A=B then indeed:
    5\cdot \pi \cdot r^2 = 3 \cdot \pi \cdot s^2
     \Leftrightarrow \frac{r^2}{s^2}=\frac{3}{5}

    So ...
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  4. #4
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    Re: Finding the value of R/S

    I think the radius of the second circle is S. if so you can solve for R/S as below;

    A = 5. pi. R^2 and B = 3. pi. S^2

    But A = B

    Hence 5. pi. R^2 = 3. pi. S^2

    R^2/S^2 = 3/5

    or R/S = sqroot(3/5)
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