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Maths, changing the subject of the formula.?

How do I change

s=pi r squared

so that r is the subject of the formula. I've tried many different ways, but it just doesn't seam to work!

3 Answers

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  • 1 decade ago
    Favorite Answer

    To solve in terms of r, first divide both sides by pi, getting:

    s/pi = r^2

    Here it gets a little tricky, since there are two square roots to any positive number - one positive and one negative. If this is referring to a measurement (which looks likely), it will always be the positive root. Otherwise, you have to allow for both positive and negative possibilities.

    Taking the square root of both sides, you get:

    sqrt(s/pi) = r (if it's a measurement)

    with the added possibility of

    -1*sqrt(s/pi) = r (if it's a pure number)

    Source(s): Algebra class.
  • Anonymous
    1 decade ago

    Hi there

    Lets start with your equation

    s = pi*r^2 where the '*' is multiply and the '^2' means squared

    Now if we divide both sides by pi we get:

    s/pi = r^2

    Now to get rid of a squared we need to take square roots of both sides, and we get

    sqrt(s/pi) = r where sqrt is the square root of what's in the brackets

    or turning it around:

    r = sqrt(s/pi)

    which is what we/you wanted

    Any help?

    John B

  • Anonymous
    4 years ago

    multiply the two components by using 3: 3p= 2(m-4) then multipy out the brakcets 3p=2m-8 upload 8 to the two edge 3p+8=2m divide the two components by using 2 (3p+8)/2=m then m is the project wish i helped

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