Arc Length and Sector Area

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Arc Length and Sector Area

Warm-Up Complete # 5, 8, 13, 14 on worksheet!

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: Rectangle Triangle Square Trapezoid Parallelogram Regular Polygon Rhombus Kite

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

Extra Practice 200cm2 2. 525in2 3. 432m2 4. 33.8cm2 5. 216in2 6. 116 11. 80in2 12. 120in2 13. 415 14. 36cm2

Quiz

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

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****

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)

Example Find the LENGTH of arc AB

Ex 2: Find the length of arc ADB

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

Is a part of a circle bounded by an arc and the segment joining its endpoints

Area of a Segment

Ex 1: Find the area of the segment:

Ex 2:

Challenge: Find the area of the shaded region 12cm

Challenge Find the area of the green figure.

Classwork/Homework Worksheet Review for Test