html5
1 / 17

Warm Up 1. Find w , y , and z . Give the answers in simplest radical form.

Warm Up 1. Find w , y , and z . Give the answers in simplest radical form. 2. RT. Warm Up Continued Find each measure. 54. 3. UQ. 11-3. Sector Area and Arc Length. Holt Geometry. Example 1A: Finding the Area of a Sector.

storm
Download Presentation

Warm Up 1. Find w , y , and z . Give the answers in simplest radical form.

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Warm Up 1.Find w, y, and z. Give the answers in simplest radical form.

  2. 2. RT Warm Up Continued Find each measure. 54 3. UQ

  3. 11-3 Sector Area and Arc Length Holt Geometry

  4. Example 1A: 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 Use formula for area of sector. Substitute 12 for r and 131 for m. Simplify. = 52.4 m2  164.62 m2

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

  6. Example 3: Finding the Area of a Segment Find the area of segment LNM to the nearest hundredth. Step 1 Find the area of sector LNM. Use formula for area of sector. Substitute 9 for r and 120 for m. Simplify. = 27 cm2

  7. Step 2 Find the area of ∆LNM. Draw altitude NO. Example 3 Continued Find the area of segment LNM to the nearest hundredth. Simplify.

  8. Remember! In a 30°-60°-90° triangle, the length of the leg opposite the 60° angle is √3 times the length of the shorter leg.

  9. Example 3 Continued Find the area of segment LNM to the nearest hundredth. Step 3 area of segment = area of sector LNM – area of ∆LNM  49.75 cm2

  10. Check It Out! Example 3 Find the area of segment RST to the nearest hundredth. Step 1 Find the area of sector RST. Use formula for area of sector. Substitute 4 for r and 90 for m. Simplify. = 4 m2

  11. Check It Out! Example 3 Continued Find the area of segment RST to the nearest hundredth. Step 2 Find the area of ∆RST. ST = 4 m, and RS = 4m. = 8 m2 Simplify.

  12. Check It Out! Example 3 Continued Find the area of segment RST to the nearest hundredth. Step 3 area of segment = area of sector RST – area of ∆RST = 4 – 8  4.57 m2

  13. Example 4A: Finding Arc Length Find each arc length. Give answers in terms of  and rounded to the nearest hundredth. FG Use formula for area of sector. Substitute 8 for r and 134 for m.  5.96 cm  18.71 cm Simplify.

  14. 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.

  15. 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

More Related