L.E.Q. How do you find the areas of circles, sectors, and segments of circles?

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Presentation transcript:

L.E.Q. How do you find the areas of circles, sectors, and segments of circles?

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

 How much more pizza is in a 12-in.-diameter pizza than in a 10-in. pizza?

 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.  The slice of pizza below is sector XOY of circle O.

 The area of a sector of a circle is the product of the ratio and the area of the circle.

 Find the area of sector ZOM. Leave your answer in terms of.

 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.

 Find the area of the shaded segment. Round your answer to the nearest tenth.

 Pgs #s 2-12 even, all, 22, 24, 26.