Geometry: Areas of Circles and Sectors
Explore the concepts of circles and sectors in geometry, including the area of circles, sectors, and segments. Learn how to calculate these areas and understand the relationship between angles and areas within circles.
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Presentation Transcript
7 7- -7 Areas of Circles 7 Areas of Circles and Sectors and Sectors GEOMETRY GEOMETRY
Area of a Circle : The area of a circle is the product of ? and the square of its radius. ? = ??2
Sector of a Circle: a region bounded by an arc of the circle and the two radii to the arc s endpoints.
Area of a Sector of a Circle (Thm. 7-16): The area of a sector of a circle is the product of the ratio and the area of the circle. measure of arc = 2 Area of Sector r 360
Segment of a Circle Segment of a Circle Segment: a part of a circle bounded by an arc and the segment joining its endpoints. To find the area of a segment for a minor arc, draw radii to form a sector. The area of the segment equals the area of the sector minus the area of the triangle formed.
