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7.1B – Circumference and Arc Length

7.1B – Circumference and Arc Length. R.4.G.5 Investigate and use the properties of angles ( central and inscribed ) arcs , chords , tangents , and secants to solve problems involving circles. Circle Vocabulary. The middle…duh…. Center:

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7.1B – Circumference and Arc Length

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  1. 7.1B – Circumference and Arc Length R.4.G.5 Investigate and use the properties of angles (central and inscribed) arcs, chords, tangents, and secants to solve problems involving circles

  2. Circle Vocabulary The middle…duh… Center: Radius: A line segment drawn from the center to any point on the circle Diameter: A line segment drawn across a circle that passes through the center (twice the radius)

  3. Circumference The distance around the outside of the circle C = 2πr C = πd Circumference is: Circumference formulas:

  4. 21 m 8 m Examples Find the circumference of the circle:

  5. Arcs R T 45o S Definition: An arc is an unbroken part of a circle Minor Arc: Shortest path between two points Name of minor Arc: Measure of minor Arc:

  6. Arcs (cont.) R T 45o S Major Arc: The longest path between two points Name of major arc: Measure of major arc:

  7. Arc Length An arc’s length is based on the Circumference of the circle and theMeasure of its arc. Formula for Arc Length: Arc Length = or…

  8. 120° 6 in Example A B C Find the length of arc AB. Leave your answer in terms of π.

  9. 120° 6 in Example A B C Find the length of arc ACB. Leave your answer in terms of π.

  10. 45° 10 cm Now You Try… P M L Find the length of arc MP. Leave your answer in terms of π.

  11. 45° 10 cm Now You Try… P M L Find the length of arc MLP. Leave your answer in terms of π.

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