medium · SAT Math

The period T of a pendulum is given by the formula T = 2π √((L)/(g)), where L is the length and g is the acceleration due to gravity.

Which of the following expresses L in terms of T, g, and π?

  1. L = (T^2)/(4π^2 g)
  2. L = g(T - 2π)^2
  3. L = (gT^2)/(2π)
  4. L = (gT^2)/(4π^2)

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