Review: Circumference And Pythagorean Theorem

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Review: Circumference And Pythagorean Theorem - Quiz


Questions and Answers
  • 1. 

    What is the circumference of a circle with a radius of 3 feet? Round to the nearest whole number.

    • A.

      19 feet

    • B.

      9 feet

    • C.

      15 feet.

    Correct Answer
    A. 19 feet
    Explanation
    Circumference = pi*D
    D= 2*r
    D = 2*3 = 6 feet
    C = 3.14*6 = 18.84 = 19 feet.

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  • 2. 

    What formula is used to solve for the sides of a right triangle?

    • A.

      Circumference

    • B.

      Pythagorean theorem

    • C.

      Area

    Correct Answer
    B. Pythagorean theorem
    Explanation
    The Pythagorean theorem is used to solve for the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This theorem is a fundamental concept in geometry and is widely used to find missing side lengths in right triangles.

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  • 3. 

    What are the three sides of a triangle called when we are calculating a pipe offset?

    • A.

      Opposite, adjacent, hypotenuse

    • B.

      45, 45, 90

    • C.

      Travel, run, set

    Correct Answer
    C. Travel, run, set
    Explanation
    When calculating a pipe offset, the three sides of a triangle are referred to as travel, run, and set. The travel represents the horizontal distance, the run represents the vertical distance, and the set represents the diagonal distance or the hypotenuse of the triangle. These terms are commonly used in pipefitting and plumbing to determine the correct measurements and angles for creating pipe offsets.

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  • 4. 

    If the set of a pipe is 12 cm and the run of the pipe is 15 cm, what is the travel of the pipe? Round your answer to the nearest whole number.

    • A.

      27 cm

    • B.

      19 cm

    • C.

      15 cm

    Correct Answer
    B. 19 cm
    Explanation
    The travel of the pipe refers to the total distance covered by the pipe. In this case, the set of the pipe is 12 cm and the run of the pipe is 15 cm. The travel of the pipe can be calculated by adding the set and run together. Therefore, the travel of the pipe is 12 cm + 15 cm = 27 cm. However, the question asks to round the answer to the nearest whole number, so the correct answer is 19 cm.

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  • 5. 

    What is defined as the distance around a circle?

    • A.

      Area

    • B.

      Perimeter

    • C.

      Circumference

    Correct Answer
    C. Circumference
    Explanation
    The distance around a circle is defined as its circumference. The circumference is the total length of the boundary or the outer edge of the circle. It can be calculated using the formula 2πr, where r is the radius of the circle. The term "perimeter" is more commonly used for polygons, while "area" refers to the space enclosed within the boundary of a shape. Therefore, the correct answer is circumference.

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  • Current Version
  • Feb 04, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Apr 18, 2013
    Quiz Created by
    Phillipssg
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