FTCE Professional Education Practice Exam

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Prepare for the FTCE Professional Education Test. Study with comprehensive flashcards and engaging multiple choice questions, each crafted with hints and detailed explanations. Enhance your confidence for success!

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What is the formula for calculating the circumference of a circle?

2(3.14)(r)
(3.14)r^2
3.14(r^2)(h)
4/3 (3.14)(r^3)

The correct answer is: 2(3.14)(r)

The formula for calculating the circumference of a circle is derived from the relationship between the diameter and the radius of the circle. The circumference can be calculated using the formula: Circumference = 2πr In this formula, "r" represents the radius of the circle, and π (pi) is approximately 3.14. Therefore, when rewritten using the approximate value of pi, the formula becomes: Circumference ≈ 2(3.14)(r) This correctly reflects that the circumference is proportional to the radius, and the factor of 2 accounts for the entire diameter of the circle. The other choices represent different mathematical concepts: - The option that involves r² represents the area of a circle rather than its circumference. - The choice that includes both r² and h relates to the volume of a cylinder. - The last option, which features r³, is for the volume of a sphere. Thus, option A accurately describes the relationship needed to calculate the circumference of a circle.