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Areas of Circles, Sectors, and Segments of Circles

April 12 th , 2012. Areas of Circles, Sectors, and Segments of Circles. Prentice Hall Chapter 5 Section 8. Area of a Circle:. Theorem 5-12 Area of a Circle. The area of a circle is the product of π and the square of the radius. r. Ex #1). Sector of a Circle:.

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Areas of Circles, Sectors, and Segments of Circles

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  1. April 12th, 2012 Areas of Circles, Sectors, and Segments of Circles Prentice Hall Chapter 5 Section 8

  2. Area of a Circle: Theorem 5-12 Area of a Circle The area of a circle is the product of π and the squareof the radius. r

  3. Ex #1)

  4. Sector of a Circle: A sector of a circleis 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 at the left is sector XOY of a circle O. The area of a sector is a fractional part of the area of a circle. The ratio of a sector's area to a circle's area is The area of a sector of a circle is the product of the ratio and the area of the circle. Area of sector AOB=

  5. Ex 2) Find the area of sector ZOM. Leave your answer in terms of π. The area of sector ZOM is 80π cm2.

  6. 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

  7. EX 3) Find the area of the shaded segment. Round your answer to the nearest tenth. The area of the segment is about 28.5 in.2

  8. HW 3I: pg 288 # 12-25

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