section 7-7: circles: area of circles, sectors, and segments april 10, 2012
TRANSCRIPT
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Section 7-7: Circles: Area of circles, sectors, and segments
April 10, 2012
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Warm-up: (20 mins)
Create your own figure using a circle and at least 2 other types of shapes. Include at least 5 shapes.
Swap with your partner. Find the perimeter/circumference
of the figure. Check each other’s work.
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Questions on Homework?
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Section 7-7 Circles: Area of circles,
sectors, and segments
Objective: Today you will learn to find areas of circles sectors segments
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Area of a Circle
Area of a parallelogram = b*h = ½ C*r C = 2πrArea of a circle = ½ (2πr)*r = πr2
Area of our cookie cake is ____________.
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Example 1:
Find the exact area of these circles
1. 2.
3. d = 16 ft 4. r = 5.3 cm
Example 2: What is the radius of a circle with area = 144πm2?
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Area of a Sector:
How big is your piece of the pie?
Sector – region bounded by two radii and their intercepted arc
Area of sector = * area of circle
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Example 3: Find the area of shaded sector
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Example 4: Find area of sectors with the
given information:
a) mXY = 720; r = 20cm
b) mMN = 1200; r = 6 ft
c) mAB = 1500; d = 8 in
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Example 5: Find areas in terms of π
Circle A =
Sector CD =
Sector DEC =
Sector CDE =
Sector ED =
Sector CD + Sector DEC =
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Segment of a circle
Segment of a circle – region of a circle bounded by an arc and the segment joining its endpoints
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Area of a Segment of a circle
Area of sector - Area of triangle = Area of segment
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Example 6: Find area of shaded segment. Round your answer to the nearest tenth.
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Example 7: Find area of shaded segment. Round your answer to the nearest tenth.
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Example 7 (cont’d): Find area of shaded segment. Round your answer to the nearest tenth.
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Example 7 (cont’d): Find area of shaded segment. Round your answer to the nearest tenth.
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Example 8: Find area of shaded segment. Round your answer to the nearest tenth.
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Example 9: Find area of shaded segment. Round your answer to the nearest tenth.
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Example 10: Find area of shaded segments. Round your answer to the nearest hundredth.
Given: • AD = 8√3• m∠AEF = 600
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Wrap-up Today you learned to find areas of
circles sectors segments
Tomorrow you will learn about Geometric Probability
Homework (H) p. 397 # 1 - 11, 17 – 19, 22, 23, 25, 27, 32, 35Homework (R) p. 397 # 1 - 11, 17 – 19, 22, 25, 26, 27, 28, 35