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Unit 0 4.4 Area of a Triangle OBJ: SWBAT:
Find the area of SAS and SSS Triangles HW: p 284 (5-23 odd)
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Area of a Triangle Area of a SAS Triangle Area of a SSS Triangle
b = the base h = height (an altitude drawn to the base) Area of a SAS Triangle Area of a SSS Triangle
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Segments of Circles θ r A segment of a circle is a region bounded by an arc of the circle and a chord connecting the endpoints of the arc. The area of a segment can be found by subtracting the area of the triangle from the area of the sector. Ksegment = Ksector − K∆ − = Ɵ is in radians. To convert degrees to radians, multiply the degrees by
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Ex 1) p 284 # 34 Find the area of the segment of a circle whose radius is 5 inches, formed by a central angle of 40o. 5 in 40o Use multiple points, if necessary.
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Ex 2) p 284 # 36 A cone-shaped tent is made from a circular piece of canvas 24 feet in diameter by removing a sector with central angle 100o and connecting the ends. What is the surface area of the tent? 12 ft 100o Use multiple points, if necessary. 260o
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Ex 3) p 284 # 37 The dimensions of home plate at any major league baseball stadium are shown. Find the area of home plate. 8.5 in 17 in 12 in 17 in Use multiple points, if necessary.
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