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Arc Length and Sector Area

Arc Length and Sector Area. 7-7 and 7-8. Notecard Warm Up – To be Turned In. Write your name on the notecard On the provided notecard, write the formula for the area of the following (NO PICTURES): Rectangle Triangle Square Trapezoid Parallelogram Regular Polygon Rhombus Kite.

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Arc Length and Sector Area

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  1. Arc Length and Sector Area 7-7 and 7-8

  2. Notecard Warm Up – To be Turned In • Write your name on the notecard • On the provided notecard, write the formula for the area of the following (NO PICTURES): • Rectangle • Triangle • Square • Trapezoid • Parallelogram • Regular Polygon • Rhombus • Kite

  3. Homework Check • 172.8in2 2. 144in2 3. 5544m2 4. 12933.6m2 5. 525m2 6. 85cm2 7. 259.8in2 8. 946.4cm2 9. <1=120, <2=60, <3=30 10. <4=90, <5=45, <6=45 11. <7=60, <8=30, <9=60 12. <1=36, <2=18, <3=72

  4. Extra Practice • 200cm2 2. 525in2 3. 432m2 4. 33.8cm2 5. 216in2 6. 116 7. 482.84 8. 1039.23cm2 9. 133m2 10. 672in2 11. 80in2 12. 120in2 13. 415 14. 36cm2

  5. Quiz • 20 Minutes • You may use notecard

  6. Today’s Objective • Students will be able to calculate the length of an arc and the area of a sector.

  7. 7-6 Arc Length • Review: The Circumference is the distance around a circle. • C=2πr or C=πd • Definition: The Arc Length is the distance around an arc (a fraction of the circumference) • Arc length is DIFFERENT from Arc Measure****

  8. Arc Length: is a fraction of a circle’s circumference (in terms of pi)Arc Measure: is equal to the central angle (in terms of degrees)

  9. Example • Find the LENGTH of arc AB

  10. Ex 2: Find the length of arc ADB

  11. 7-7 Sector Area • Review: The Area of a circle is π*r2 • Definition: A Sector is a region bounded by an arc and two radii

  12. Segment of a Circle Definition: A part of a circle bounded by an arc and the segment joining its endpoints

  13. Area of a Segment

  14. Finding the Area of a Segment of a Circle Ex 1: Find the area of the segment:

  15. Ex 2:

  16. Example: Find the area of the shaded region 12cm

  17. Challenge Find the area of the green figure.

  18. Classwork/Homework • Page 7 of Packet • 9. 90 10. 36 11. 45 12. 90+45 15. d=8

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