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Find the area of sectors and segments. Find arc lengths.

Objectives. Find the area of sectors and segments. Find arc lengths. Example 1: Finding the Area of a Sector. Find the area of each sector. Give answers in terms of  and rounded to the nearest hundredth. sector HGJ. Example 2: Word Problem.

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Find the area of sectors and segments. Find arc lengths.

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  1. Objectives Find the area of sectors and segments. Find arc lengths.

  2. Example 1: Finding the Area of a Sector Find the area of each sector. Give answers in terms of and rounded to the nearest hundredth. sector HGJ

  3. Example 2: Word Problem A windshield wiper blade is 18 inches long. To the nearest square inch, what is the area covered by the blade as it rotates through an angle of 122°?

  4. A segment of a circle is a region bounded by an arc and its chord.

  5. Example 2 Find the area of segment RST to the nearest hundredth.

  6. Example 3: Finding Arc Length Find each arc length. FG

  7. Example 4: Finding Arc Length Find each arc length. an arc with measure 62 in a circle with radius 2 m

  8. Lesson Quiz: Part I Find each measure. Give answers in terms of and rounded to the nearest hundredth. 1. area of sector LQM 7.5in223.56 in2 2. length of NP 2.5 in. 7.85 in.

  9. Lesson Quiz: Part II 3. The gear of a grandfather clock has a radius of 3 in. To the nearest tenth of an inch, what distance does the gear cover when it rotates through an angle of 88°? 4.6 in. 4. Find the area of segment GHJ to the nearest hundredth. 55.94 m2

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