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7-7 Areas of Circles and Sectors

7-7 Areas of Circles and Sectors. L.E.Q. How do you find the areas of circles, sectors, and segments of circles?. Area of a Circle. The area of a circle is the product of pi and the square of the radius. Real-World Connection.

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7-7 Areas of Circles and Sectors

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  1. 7-7 Areas of Circles and Sectors L.E.Q. How do you find the areas of circles, sectors, and segments of circles?

  2. Area of a Circle • The area of a circle is the product of pi and the square of the radius.

  3. Real-World Connection • How much more pizza is in a 12-in.-diameter pizza than in a 10-in. pizza?

  4. What is a 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. • The slice of pizza below is sector XOY of circle O.

  5. Area of a Sector • The area of a sector of a circle is the product of the ratio and the area of the circle.

  6. Finding the area of a sector of a circle. • Find the area of sector ZOM. Leave your answer in terms of .

  7. What is a 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.

  8. How do you find the area of a segment for a minor arc? • 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.

  9. Finding the area of a segment of a circle. • Find the area of the shaded segment. Round your answer to the nearest tenth.

  10. Homework: • Pgs 397-398 #s 2-12 even, 17-19 all, 22, 24, 26.

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