Chapter 10: Area

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Chapter 10: Area Section 10-7: Areas of Circles and Sectors

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Chapter 10: Area. Section 10-7: Areas of Circles and Sectors. Objective:. To find the area of circles, sectors, and segments of circles. Vocabulary. Sector of a Circle Segment of a Circle. Theorem 10-11: “Area of a Circle”. - PowerPoint PPT Presentation

Transcript of Chapter 10: Area

Page 1: Chapter 10: Area

Chapter 10:AreaSection 10-7:

Areas of Circles and Sectors

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Page 2: Chapter 10: Area

Objective:To find the area of circles, sectors, and segments of circles.

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Page 3: Chapter 10: Area

VocabularySector of a CircleSegment of a Circle

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Page 4: Chapter 10: Area

Theorem 10-11:“Area of a Circle”

The area of a circle is the product of pi and the square of the radius.

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Page 5: Chapter 10: Area

Find the Area of the Circle

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Page 6: Chapter 10: Area

Find the Area of the Circle

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Page 7: Chapter 10: Area

Find the Area of the Circle

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Page 8: Chapter 10: Area

Sector of a CircleA sector of a circle is a region bound by an arc of the circle and two radii to the arc’s endpoints.

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Page 9: Chapter 10: Area

Theorem 10-12:“Area of a Sector of a Circle”The area of a sector of a circle is the product of the ratio of the measure of the arc and 360 times the area of the circle.

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Page 10: Chapter 10: Area

Finding the Area of a SectorFind the area of Sector XOY

60° 12

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Page 11: Chapter 10: Area

Segment of a CircleA part of a circle bound by an arc and the segment joining its endpoints is a segment of a circle.

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Page 12: Chapter 10: Area

Area of a SegmentTo find the area of a segment we have to find the area of a sector and subtract the area of a triangle. A

B10

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