Measuring Circles Flashcards
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Questions and Answers

What is the area of a circle with radius R?

  • NR
  • NR^2 (correct)
  • N/2 R^2
  • 2NR

    • What is a circle?

    A circle of radius r with center O is the set of all points that are a distance R units from O.

    What is the circumference?

    The distance around a circle.

    The constant of proportionality represents a __________ relationship.

    <p>proportional</p> Signup and view all the answers

    What does 'corresponding' refer to?

    <p>Parts of the original figure matching up with a part of the copy.</p> Signup and view all the answers

    What is a diameter?

    <p>A line segment that has endpoints on a circle and passes through the center of the circle.</p> Signup and view all the answers

    Two ratios a:b and c:d are equivalent if you can multiply a and b to get c and d.

    <p>True</p> Signup and view all the answers

    What is the origin in the coordinate plane?

    <p>(0,0)</p> Signup and view all the answers

    What does pi represent?

    <p>The constant of proportionality between the circumference of a circle and its diameter.</p> Signup and view all the answers

    What defines a proportional relationship?

    <p>If there is a positive constant k so that the quantities x and y are related by the equation y = kx.</p> Signup and view all the answers

    What is the radius of a circle?

    <p>The distance from the center of a circle to any point on the circle.</p> Signup and view all the answers

    What is the rate of change in a linear relationship?

    <p>The constant m in the equation y = mx + b.</p> Signup and view all the answers

    What is a scale drawing?

    <p>A drawing in which all lengths in the drawing correspond to lengths in the object by the same scale.</p> Signup and view all the answers

    What is a scale factor?

    <p>The factor by which every length in the original figure is increased or decreased.</p> Signup and view all the answers

    What is a scale copy?

    <p>A figure in which every length in the original figure is increased or decreased by the same scale factor.</p> Signup and view all the answers

    Study Notes

    Area and Geometry Concepts

    • Area of a circle is calculated using the formula ( A = \pi R^2 ) where R is the radius.
    • A circle is defined as the set of all points at a fixed distance (radius r) from a central point O.
    • Circumference refers to the total distance around a circle.

    Relationships and Proportionality

    • The constant of proportionality expresses the relationship in proportional scenarios.
    • Corresponding parts are those that match between original figures and their copies, such as angles, sides, or points.

    Circle Properties

    • The diameter is a line segment stretching across a circle, with endpoints on the circle and passing through its center.
    • The ratio of two quantities a:b and c:d are equivalent if you can multiply both terms of the first ratio to obtain the second.

    Coordinate System

    • The origin in a coordinate plane is represented by the point (0,0).

    Mathematical Constants

    • Pi (π) is the constant that relates the circumference of a circle to its diameter, approximately equal to 3.14.
    • Proportional relationships exist if a positive constant k relates two quantities by the equation ( y = kx ).

    Radius and Change

    • The radius is the distance from the center of a circle to any point on the circle.
    • In a linear relationship represented by ( y = mx + b ), the constant m indicates the rate of change between x and y.

    Scale and Drawings

    • Scale refers to the size relation in scale drawings.
    • A scale drawing maintains proportional dimensions where all lengths correspond to those of the actual object by the same scale factor.
    • The scale factor is the ratio indicating how much larger or smaller a scaled copy is compared to the original figure.

    Scale Copies

    • A scale copy ensures every length in the original figure is consistently increased or decreased based on the scale factor used.

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    Description

    Test your knowledge of the properties of circles with these informative flashcards. Each card provides definitions for key terms such as area, circumference, and more. Perfect for students learning about circles in mathematics.

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