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10.5 Trigonometry and Area • What is the area of a regular nonagon with 10-cm sides? 360 mPCR 40 9 1 mPCS (40) 20 2 5 tan 20 a 5 a tan 20 1 A ap 2 1 5 2 A 90 618cm. 2 tan 20 Finding Area • A stop sign is a regular octagon. The standard size has a 16.2-in. radius. What is the area of the stop sign to the nearest square inch? 360 45 8 mC 22.5 a cos 22.5 16.2 16.2(cos 22.5 ) a x sin 22.5 16.2 16(sin 22.5 ) x p 8 2x 742.2924146 p 8 2 16.2(sin 22.5 ) 742in. 2 259.2(sin 22.5 ) 1 A ap 2 1 16.2(cos 22.5) 259.2(sin 22.5) 2 Area of a Triangle Given SAS • The area of a triangle is half the product of the lengths of two sides and the sine of the included angle. 1 Areaof ABC bc(sin A) 2 Finding Area • What is the area of the triangle? 1 A 12 21 sin 48 2 93.63624801 94cm. 2 More Practice!!!!! • Homework – Textbook p. 646 #6 – 18 EVEN.