10-7 Areas of Circles and Sectors

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10-7 Areas of Circles and Sectors

  1. 1. Essential Understanding You can find the area of a circle when you know its radius. You can use the area of a circle to find the area of a circle formed by two radii and the arc the radii when they intersect with the circle Students will be able to find the areas of circles, sectors, and segments of circles
  2. 2. Area of a Circle A = πr2 What is the area of circular wrestling region with a 42 ft diameter? What is the area of a circular ice skating rink with a radius of 24 ft?
  3. 3. Area of a Sector Sector of a circle: region bounded by an arc of the circle and two radii to the arc’s endpoints. A circle has radius of 4 in. What is the area of a sector bounded by a 45° minor arc? Leave your answer in terms of π.
  4. 4. Segment of a Circle 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 segments equals the area of the sector minus the area of the triangle formed
  5. 5. Finding Area of a Segment What is the area of the shaded segment shown below? Round your answer to the nearest tenth.
  6. 6. Homework Pg. 663 # 8 – 32 even, 46 14 problems

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