10.7 Areas of Circles and Sectors

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Presentation transcript:

10.7 Areas of Circles and Sectors The area of a circle is the product of pi and the square of the radius.

Finding the Area of a Circle The diameter of the circular region on the wrestling mat is 32 feet. What is the area?

Sector of a Circle A sector of a circle is a region bounded by an arc of the circle and the two radii to the arc’s endpoints. You name a sector using one arc endpoint, the center of the circle, and the other arc endpoint.

Area of a Sector of a Circle The area of a sector of a circle is the product of the radio measure of the arc : 360 and the area of the circle.

Finding the Area of a Sector of a Circle What is the area of sector GPH? Leave your answer in terms of pi.

Segment of a Circle A part of a circle bounded by an arc and the segment joining its endpoints is a segment of a circle. 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.

Finding the Area of a Segment of a Circle What is the area of the shaded segment shown? Round your answer to the nearest tenth.

Finding the Area of a Segment of a Circle

More Practice!!!!! Homework – Textbook p. 663 – 664 # 7 – 25 ALL.