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Relationships in a circle

In this lesson, students will explore the essential relationship between the radius, diameter, and circumference of a circle. Students will learn that the radius is half the diameter (1/2d), while the diameter is twice the radius (2r). The circumference can be calculated using the formulas: C = πd or C = 2πr. Engaging activities and practice problems will solidify these concepts. An interactive online tool will provide further hands-on experience. Join us in discovering the magic of Pi and circle measurements!

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Relationships in a circle

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  1. Relationships in a circle Laurie Crockett Cobb 6th Grade Campus GPISD

  2. TEKS Objective • 6.6C Describe the relationship between radius, diameter, and circumference of a circle.

  3. Parts of a circle Diameter Radius Circumference – The distance around the circle

  4. The Radius is half of the Diameter. 1/2d The Diameter is twice as big as the radius. 2TTr

  5. The magic of Pi (TT) • Circumference is found by multiplying pi by the diameter! 12 Circumference = 12TT

  6. You may also find Circumference by multiplying pi times 2r (or twice the radius) Circumference = 2TTr 2 * TT * 3 2 * 3.14 * 3 3 = 18.84

  7. Practice 8 3 2.5 6 15

  8. Try on your own! 9.5 7 4.6

  9. How did you do? • 1. 21.98 • 2. 28.888 • 3. 59.66 Good Job!

  10. Remember… Radius = 1/2d Diameter = 2r Circumference = TTd or... Circumference = 2TTr Use your formula chart to remember formulas!!!

  11. Try this web site activity! • Click on the site below. Read the information on the site then work the problems using the interactive tool. • http://www.mathgoodies.com/lessons/vol2/circumference.html

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