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# 10-5 Trigonometry and Area

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### 10-5 Trigonometry and Area

1. 1. Essential Understanding You can use trigonometry to find the area of a regular polygon You can use trig to find the area of a triangle when you know the length of two sides and the included angle. Students will be able to find areas of regular polygons and triangles using trigonometry.
2. 2. Find the Area of the Nonagon
3. 3.  What is the area of a regular pentagon with 4in sides? Round your answer to the nearest square in. A tabletop has the shape of a regular decagon with a radius of 9.5 in. What is the area of the tabletop to the nearest square inch?
4. 4. Finding Area Suppose you want to find the area of a triangle. What formula could you come up with to find the area of any triangle using a trig function sinA = h/c h = csinA A = ½(bc)sinA
5. 5. What is the area of the triangle
6. 6. What is the area of the Triangle?
7. 7. Homework Pg. 646 #6 – 28 even, 36, 45 – 47 16 problems