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Formula used to measure area of circle is

  • A.4πr²
  • B.πr²
  • C.2πr²
  • D.πr² + 2r

Answer: B

\[ A = \pi r^{2} \]

An area must vary as the square of a length, which alone rules out \( \pi r^{2} + 2r \) as dimensionally inconsistent. The other two are real formulas from elsewhere: \( 4\pi r^{2} \) is a sphere's surface area and \( 2\pi r^{2} \) a hemisphere's curved surface.

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