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WARM-UP Area of a regular polygon:________________________ Area of Circle: ______________________________

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Page 1: W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________

WARM-UP

Area of a regular polygon:________________________

Area of Circle: ______________________________

Page 2: W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________
Page 3: W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________

Learning Intentions:

Today I will…1) Learn new vocabulary: annuluses, sectors, and

segments of circles

2) Discover formulas and methods for calculating the area of annuluses, sectors, and segments of circles.

Success Criteria:

I am successful if…

1)I can identify and apply the appropriate formula for an annulus, sector or segment of a circle.

2)I can complete at least 80% of my practice problems.

Page 4: W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________

…But first, are there anyquestions from worksheet 8.5

Page 5: W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________
Page 6: W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________

SectorA sector of a circle is the region between two radii and an arc of the circle.

Page 7: W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________

SegmentA segment of a circle is the region between a chord and an arc of the circle.

Sector

Page 8: W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________

AnnulusA annulus is the region between two concentric circles.

Page 9: W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________
Page 10: W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________

Example 2

Page 11: W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________

Example 3

Page 12: W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________

Example 4

Page 13: W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________

Area of sector

Area of segment

Area of Annulus

Click for Video!

http://www.brightstorm.com/math/geometry/area/area-of-a-sector
http://www.brightstorm.com/math/geometry/area/area-of-a-segment
http://www.brightstorm.com/math/geometry/area/area-of-an-annulus
http://www.brightstorm.com/math/geometry/area/area-of-an-annulus
Page 14: W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________

Now Practice.


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