chapter 10: area
DESCRIPTION
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 PresentationTRANSCRIPT
Chapter 10:AreaSection 10-7:
Areas of Circles and Sectors
Objective:To find the area of circles, sectors, and segments of circles.
VocabularySector of a CircleSegment of a Circle
Theorem 10-11:“Area of a Circle”
The area of a circle is the product of pi and the square of the radius.
Find the Area of the Circle
2
Find the Area of the Circle
16
Find the Area of the Circle
5
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.
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.
Finding the Area of a SectorFind the area of Sector XOY
60° 12
Segment of a CircleA part of a circle bound by an arc and the segment joining its endpoints is a segment of a circle.
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