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Concepts Of Physics MCQ Edition [Volume 1]PhysicsPhysics and Mathematics

The radius of a circle is given as 2.12 cm . Its area must be expressed as

Options

  1. A14.1124 cm ^2
  2. B14.1 cm ^2
  3. C14 cm ^2
  4. D14.11 cm ^2

Correct answer

B. 14.1 cm ^2

Step-by-step solution

The radius of the circle is given as r = 2.12 cm . The number of significant figures in the measured value of the radius is 3 . The area of the circle is A = r^2 . Substituting the value of r : A = (2.12)^2 = 3.14159 4.4944 = 14.1196... cm ^2 In multiplication, the final result should retain as many significant figures as are there in the original number with the least significant figures. Since the radius has 3 significant figures, the area must also be expressed to 3 significant figures. Rounding off 14.1196... c

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