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Understanding Circles: Key Components and Relationships

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Explore the essential concepts of circles, including the center, diameter, radius, and circumference. Learn how to identify and determine the relationships between these elements. This guide outlines definitions and provides step-by-step instructions for drawing and labeling parts of a circle. Understand how the diameter relates to the radius, and grasp the concept of circumference as the distance around a circle. Expand your vocabulary with terms like dilation, reflection, rotation, and translation, essential for understanding geometric transformations.

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Understanding Circles: Key Components and Relationships

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  1. 3.1 “I Can draw circles, and identify and determine relationships among the radius, diameter, center, and circumference.”

  2. Vocabulary • Circle - _________ degrees • Center Point - Very Center of a ______.

  3. Diameter • Diameter - is the length of a line segment passing through the ________ _________ of the circle, with endpoints on the circle. • The diameter is ___ time bigger than the _________.

  4. Radius • Radius - Goes from the center point out to any point on the ________. • The radius is 1/2 the size of the __________.

  5. Circumference • Circumference - is the distance around a circle. It could be called the ________ of a circle. • The circumference is about 3x bigger than the __________.

  6. Chord • Chord - A line segment that does not go through the _______ point of a circle.

  7. Complete the Following Steps! • 1. Mark the center point and label it C (Red) • 2. Draw a radius (Blue). Mark it as 5 meters • 3. Draw a diameter (Purple). Mark it as ______. • 4. Color (Outline) the Circumference (Green). Mark it as ____. • 5. Draw a chord (Orange). • Radius = • Diameter = • Circumference =

  8. More Vocabulary • Dilation - to expand or get _________.

  9. Reflection • Reflect - _____ an object. • Mirror

  10. Rotation • Rotation - _______ an object. • Rotate the object.

  11. Translation • Translation - to ______ an object. • Move it.

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