10-5 Trigonometry and Area

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Presentation transcript:

10-5 Trigonometry and Area To find areas of regular polygons and triangles using trigonometry Using trigonometric functions, students will calculate the areas of triangles and regular polygons accurately, efficiently, and to a degree of precision appropriate to the situation.

10-4 Quiz The following questions are designed to help you determine how well you understood today’s lesson. Please take time to ask questions if you miss one and don’t know why! Record the number you get right on your portfolio sheet 

1. Find the area of the regular polygon 1. Find the area of the regular polygon. Give the answer to the nearest tenth. pentagon with a side of 6 ft 49.5 ft2 61.9 ft2 123.9 ft2 12.4 ft2 Non-Response Grid

2. Find the area of the regular polygon 2. Find the area of the regular polygon. Give the answer to the nearest tenth. hexagon with a side of 6 in. 9 in2 31.2 in2 93.5 in2 187.1 in2 Non-Response Grid

3. Find the area of the regular polygon 3. Find the area of the regular polygon. Give the answer to the nearest tenth. square with a radius of 13 ft 338 ft2 169 ft2 676 ft2 343 ft2 Non-Response Grid

4. A park in a subdivision is triangular-shaped 4. A park in a subdivision is triangular-shaped. Two adjacent sides of the park are 581 feet and 540 feet. The angle between the sides is 83 . To the nearest unit, find the area of the park in square yards. 51,900 yd2 34,600 yd2 38,925 yd2 17,300 yd2 Non-Response Grid

5. Find the area of the triangle. Give the answer to the nearest tenth 5. Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale. 126.9 cm2 63.4 cm2 23.1 cm2 185.5 cm2 Non-Response Grid

ASSIGNMENT 10-5 p.646-647 #6-36 even Be sure to RATE your understanding of the lesson 4-3-2-1-0 after you finish it AND give me one complete sentence as to why you rated yourself that way then summarize what the lesson was about in a sentence or two.