Download - Arc Length and Sector Area
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Arc Length and Sector Area7-7 and 7-8
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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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Homework Check1. 172.8in2 2. 144in2 3. 5544m24. 12933.6m2 5. 525m2 6.
85cm27. 259.8in2 8. 946.4cm29. <1=120, <2=60, <3=3010. <4=90, <5=45, <6=4511. <7=60, <8=30, <9=6012. <1=36, <2=18, <3=72
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Extra Practice1. 200cm2 2. 525in23. 432m2 4. 33.8cm25. 216in2 6. 1167. 482.84 8. 1039.23cm29. 133m2 10. 672in211. 80in2 12. 120in213. 415 14. 36cm2
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Quiz› 20 Minutes› You may use notecard
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Today’s Objective› Students will be able to calculate the length of an arc and the area of a sector.
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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****
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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)
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Example› Find the LENGTH of arc AB
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Ex 2: Find the length of arc ADB
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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
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Segment of a CircleDefinition: A part of a circle bounded
by an arc and the segment joining its endpoints
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Area of a Segment
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Finding the Area of a Segment of a CircleEx 1: Find the area of the segment:
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Ex 2:
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Example: Find the area of the shaded region
12cm
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Challenge Find the area of the green figure.
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Classwork/Homework› Page 7 of Packet
– 9. 90 10. 36 11. 45 12. 90+45 15. d=8