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Circumference and Arc Length

Circumference and Arc Length. Chapter 11.4. Circumference . Definition: The distance around a circle. Important Fact: For all circles, the ratio of the circumference to the diameter is the same… it is pi!!! ∏. Circumference C. Diameter d. Circumference Formulas.

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Circumference and Arc Length

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  1. Circumference and Arc Length Chapter 11.4

  2. Circumference • Definition: The distance around a circle. • Important Fact: For all circles, the ratio of the circumference to the diameter is the same… it is pi!!! ∏ Circumference C Diameter d

  3. Circumference Formulas • The circumference C of a circle is… C = ∏d or C = 2∏r where d is the diameter of the circle and r is the radius of the circle.

  4. Arc Length • Definition: A proportion of the circumference of a circle. • Important Fact: You can use the measure of the arc (given in degrees) to find its length (in linear units).

  5. Arc Length Formula • In a circle, the ratio of the length of a given arc to the circumference is equal to the ratio of the measure of the arc to 360o

  6. Arc JK Arc JL Arc JML Arc JMK Find the Measure of each Arc!

  7. Special Arc Lengths… Semicircle 90o Arc • The length of a semicircle is one half of the circumference. • The length of a 90o Arc is one quarter of the circumference.

  8. Arc AB Arc CD Arc EF Find the Length of Each Arc!

  9. Find the Circumference

  10. Measure of Arc XY

  11. Activity then… HOMEWORKPg. 686: 15-29

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